TSTP Solution File: GEO525+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO525+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 12:55:26 EDT 2022
% Result : Timeout 299.84s 300.02s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO525+1 : TPTP v8.1.0. Released v7.0.0.
% 0.06/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 07:10:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 6.07/6.28 ----- Otter 3.3f, August 2004 -----
% 6.07/6.28 The process was started by sandbox on n022.cluster.edu,
% 6.07/6.28 Wed Jul 27 07:10:05 2022
% 6.07/6.28 The command was "./otter". The process ID is 23771.
% 6.07/6.28
% 6.07/6.28 set(prolog_style_variables).
% 6.07/6.28 set(auto).
% 6.07/6.28 dependent: set(auto1).
% 6.07/6.28 dependent: set(process_input).
% 6.07/6.28 dependent: clear(print_kept).
% 6.07/6.28 dependent: clear(print_new_demod).
% 6.07/6.28 dependent: clear(print_back_demod).
% 6.07/6.28 dependent: clear(print_back_sub).
% 6.07/6.28 dependent: set(control_memory).
% 6.07/6.28 dependent: assign(max_mem, 12000).
% 6.07/6.28 dependent: assign(pick_given_ratio, 4).
% 6.07/6.28 dependent: assign(stats_level, 1).
% 6.07/6.28 dependent: assign(max_seconds, 10800).
% 6.07/6.28 clear(print_given).
% 6.07/6.28
% 6.07/6.28 formula_list(usable).
% 6.07/6.28 all A (A=A).
% 6.07/6.28 all X Y s_e(X,Y,Y,X).
% 6.07/6.28 all X Y Z V Z2 V2 (-s_e(X,Y,Z,V)| -s_e(X,Y,Z2,V2)|s_e(Z,V,Z2,V2)).
% 6.07/6.28 all X Y Z (-s_e(X,Y,Z,Z)|X=Y).
% 6.07/6.28 all X Y W V (s_t(X,Y,ext(X,Y,W,V))&s_e(Y,ext(X,Y,W,V),W,V)).
% 6.07/6.28 all X Y X1 Y1 Z Z1 V V1 (-s_e(X,Y,X1,Y1)| -s_e(Y,Z,Y1,Z1)| -s_e(X,V,X1,V1)| -s_e(Y,V,Y1,V1)| -s_t(X,Y,Z)| -s_t(X1,Y1,Z1)|X=Y|s_e(Z,V,Z1,V1)).
% 6.07/6.28 all X Y (-s_t(X,Y,X)|X=Y).
% 6.07/6.28 all Xa Xp Xc Xb Xq ((-s_t(Xa,Xp,Xc)| -s_t(Xb,Xq,Xc)|s_t(Xp,ip(Xa,Xp,Xc,Xb,Xq),Xb))& (-s_t(Xa,Xp,Xc)| -s_t(Xb,Xq,Xc)|s_t(Xq,ip(Xa,Xp,Xc,Xb,Xq),Xa))).
% 6.07/6.28 -s_t(alpha,beta,gamma).
% 6.07/6.28 -s_t(beta,gamma,alpha).
% 6.07/6.28 -s_t(gamma,alpha,beta).
% 6.07/6.28 all Xa Xb s_e(Xa,Xb,Xa,Xb).
% 6.07/6.28 all Xa Xb Xc Xd (-s_e(Xa,Xb,Xc,Xd)|s_e(Xc,Xd,Xa,Xb)).
% 6.07/6.28 all Xa Xb Xc Xd Xe Xf (-s_e(Xa,Xb,Xc,Xd)| -s_e(Xc,Xd,Xe,Xf)|s_e(Xa,Xb,Xe,Xf)).
% 6.07/6.28 all Xa Xb Xc Xd (-s_e(Xa,Xb,Xc,Xd)|s_e(Xb,Xa,Xc,Xd)).
% 6.07/6.28 all Xa Xb Xc Xd (-s_e(Xa,Xb,Xc,Xd)|s_e(Xa,Xb,Xd,Xc)).
% 6.07/6.28 all Xa Xb s_e(Xa,Xa,Xb,Xb).
% 6.07/6.28 all Xa Xb Xc Xa1 Xb1 Xc1 (-s_t(Xa,Xb,Xc)| -s_t(Xa1,Xb1,Xc1)| -s_e(Xa,Xb,Xa1,Xb1)| -s_e(Xb,Xc,Xb1,Xc1)|s_e(Xa,Xc,Xa1,Xc1)).
% 6.07/6.28 all Xq Xa Xd Xb Xc (Xq=Xa| -s_t(Xq,Xa,Xd)| -s_e(Xa,Xd,Xb,Xc)|Xd=ext(Xq,Xa,Xb,Xc)).
% 6.07/6.28 all Xb Xc Xa (-s_e(Xb,Xc,Xa,Xa)|Xb=Xc).
% 6.07/6.28 all Xa Xb Xc Xd (-s_e(Xa,Xb,Xc,Xd)|s_e(Xb,Xa,Xd,Xc)).
% 6.07/6.28 all Xa Xb Xc XA XB XC (-s_t(Xa,Xb,Xc)| -s_t(XA,XB,XC)| -s_e(Xa,Xb,XB,XC)| -s_e(Xb,Xc,XA,XB)|s_e(Xa,Xc,XA,XC)).
% 6.07/6.28 all Xa Xb s_t(Xa,Xb,Xb).
% 6.07/6.28 all Xa Xb Xc (-s_t(Xa,Xb,Xc)|s_t(Xc,Xb,Xa)).
% 6.07/6.28 all Xa1 Xb1 s_t(Xa1,Xa1,Xb1).
% 6.07/6.28 all Xa Xb Xc (-s_t(Xa,Xb,Xc)| -s_t(Xb,Xa,Xc)|Xa=Xb).
% 6.07/6.28 all Xa Xb Xd Xc (-s_t(Xa,Xb,Xd)| -s_t(Xb,Xc,Xd)|s_t(Xa,Xb,Xc)).
% 6.07/6.28 all Xa Xb Xc Xd (-s_t(Xa,Xb,Xc)| -s_t(Xa,Xc,Xd)|s_t(Xb,Xc,Xd)).
% 6.07/6.28 all Xa Xb Xc Xd (-s_t(Xa,Xb,Xc)| -s_t(Xb,Xc,Xd)|Xb=Xc|s_t(Xa,Xc,Xd)).
% 6.07/6.28 all Xa Xb Xd Xc (-s_t(Xa,Xb,Xd)| -s_t(Xb,Xc,Xd)|s_t(Xa,Xc,Xd)).
% 6.07/6.28 all Xa Xb Xc Xd (-s_t(Xa,Xb,Xc)| -s_t(Xa,Xc,Xd)|s_t(Xa,Xb,Xd)).
% 6.07/6.28 all Xa Xb Xc Xd (-s_t(Xa,Xb,Xc)| -s_t(Xb,Xc,Xd)|Xb=Xc|s_t(Xa,Xb,Xd)).
% 6.07/6.28 alpha!=beta.
% 6.07/6.28 beta!=gamma.
% 6.07/6.28 alpha!=gamma.
% 6.07/6.28 all Xa Xb s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma)).
% 6.07/6.28 all Xb Xa (Xb!=ext(Xa,Xb,alpha,gamma)).
% 6.07/6.28 all Xa Xb Xc Xa1 Xb1 Xp ((-s_t(Xa,Xb,Xc)| -s_t(Xa1,Xb1,Xc)| -s_t(Xa,Xp,Xa1)|s_t(Xp,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xc))& (-s_t(Xa,Xb,Xc)| -s_t(Xa1,Xb1,Xc)| -s_t(Xa,Xp,Xa1)|s_t(Xb,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xb1))).
% 6.07/6.28 all Xa Xb Xc Xd Xa1 Xb1 Xc1 Xd1 (-s_ifs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|s_e(Xb,Xd,Xb1,Xd1)).
% 6.07/6.28 all Xa Xb Xc Xa1 Xb1 Xc1 (-s_t(Xa,Xb,Xc)| -s_t(Xa1,Xb1,Xc1)| -s_e(Xa,Xc,Xa1,Xc1)| -s_e(Xb,Xc,Xb1,Xc1)|s_e(Xa,Xb,Xa1,Xb1)).
% 6.07/6.28 all Xa Xb Xc Xa1 Xc1 ((-s_t(Xa,Xb,Xc)| -s_e(Xa,Xc,Xa1,Xc1)|s_t(Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1))& (-s_t(Xa,Xb,Xc)| -s_e(Xa,Xc,Xa1,Xc1)|s_e3(Xa,Xb,Xc,Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1))).
% 6.07/6.28 all Xa Xb Xc Xa1 Xb1 Xc1 (-s_t(Xa,Xb,Xc)| -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)|s_t(Xa1,Xb1,Xc1)).
% 6.07/6.28 all Xa Xb Xc (-s_col(Xa,Xb,Xc)|s_col(Xb,Xc,Xa)).
% 6.07/6.28 all Xa Xb Xc (-s_col(Xa,Xb,Xc)|s_col(Xc,Xa,Xb)).
% 6.07/6.28 all Xa Xb Xc (-s_col(Xa,Xb,Xc)|s_col(Xc,Xb,Xa)).
% 6.07/6.28 all Xa Xb Xc (-s_col(Xa,Xb,Xc)|s_col(Xb,Xa,Xc)).
% 6.07/6.28 all Xa Xb Xc (-s_col(Xa,Xb,Xc)|s_col(Xa,Xc,Xb)).
% 6.07/6.28 all Xa Xb s_col(Xa,Xa,Xb).
% 6.07/6.28 all Xa Xb s_col(Xa,Xb,Xa).
% 6.07/6.28 all Xa Xb Xc Xa1 Xb1 Xc1 (-s_col(Xa,Xb,Xc)| -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)|s_col(Xa1,Xb1,Xc1)).
% 6.07/6.28 all Xa Xb Xc Xa1 Xb1 (-s_col(Xa,Xb,Xc)| -s_e(Xa,Xb,Xa1,Xb1)|s_e3(Xa,Xb,Xc,Xa1,Xb1,insert5(Xa,Xb,Xc,Xa1,Xb1))).
% 6.07/6.28 all Xa Xb Xc Xd Xa1 Xb1 Xc1 Xd1 (-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|Xa=Xb|s_e(Xc,Xd,Xc1,Xd1)).
% 6.07/6.28 all Xa Xb Xc Xp Xq (Xa=Xb| -s_col(Xa,Xb,Xc)| -s_e(Xa,Xp,Xa,Xq)| -s_e(Xb,Xp,Xb,Xq)|s_e(Xc,Xp,Xc,Xq)).
% 6.07/6.28 all Xa Xb Xc Xc1 (Xa=Xb| -s_col(Xa,Xb,Xc)| -s_e(Xa,Xc,Xa,Xc1)| -s_e(Xb,Xc,Xb,Xc1)|Xc=Xc1).
% 6.07/6.28 all Xa Xc Xb Xc1 (-s_t(Xa,Xc,Xb)| -s_e(Xa,Xc,Xa,Xc1)| -s_e(Xb,Xc,Xb,Xc1)|Xc=Xc1).
% 6.07/6.28 all Xa Xb Xc Xd (Xa=Xb| -s_t(Xa,Xb,Xc)| -s_t(Xa,Xb,Xd)|s_t(Xa,Xc,Xd)|s_t(Xa,Xd,Xc)).
% 6.07/6.28 all Xa Xb Xc Xd (Xa=Xb| -s_t(Xa,Xb,Xc)| -s_t(Xa,Xb,Xd)|s_t(Xb,Xc,Xd)|s_t(Xb,Xd,Xc)).
% 6.07/6.28 all Xa Xb Xd Xc (-s_t(Xa,Xb,Xd)| -s_t(Xa,Xc,Xd)|s_t(Xa,Xb,Xc)|s_t(Xa,Xc,Xb)).
% 6.07/6.28 all Xa Xb Xc Xd ((-le(Xa,Xb,Xc,Xd)|s_t(Xa,Xb,ins(Xc,Xd,Xa,Xb)))& (-le(Xa,Xb,Xc,Xd)|s_e(Xa,ins(Xc,Xd,Xa,Xb),Xc,Xd))& (-le(Xa,Xb,Xc,Xd)|ins(Xc,Xd,Xa,Xb)=ext(Xa,Xb,insert(Xa,Xb,Xc,Xd),Xd))).
% 6.07/6.28 all Xa Xb Xc Xd Xe (le(Xa,Xb,Xc,Xd)| -s_t(Xa,Xb,Xe)| -s_e(Xa,Xe,Xc,Xd)).
% 6.07/6.28 all Xa Xb Xc Xd Xa1 Xb1 Xc1 Xd1 (-le(Xa,Xb,Xc,Xd)| -s_e(Xa,Xb,Xa1,Xb1)| -s_e(Xc,Xd,Xc1,Xd1)|le(Xa1,Xb1,Xc1,Xd1)).
% 6.07/6.28 all Xa Xb le(Xa,Xb,Xa,Xb).
% 6.07/6.28 all Xa Xb Xc Xd Xe Xf (-le(Xa,Xb,Xc,Xd)| -le(Xc,Xd,Xe,Xf)|le(Xa,Xb,Xe,Xf)).
% 6.07/6.28 all Xa Xb Xc Xd (-le(Xa,Xb,Xc,Xd)| -le(Xc,Xd,Xa,Xb)|s_e(Xa,Xb,Xc,Xd)).
% 6.07/6.28 all Xa Xb Xc Xd (le(Xa,Xb,Xc,Xd)|le(Xc,Xd,Xa,Xb)).
% 6.07/6.28 all Xa Xc Xd le(Xa,Xa,Xc,Xd).
% 6.07/6.28 all Xa Xb Xc (-s_col(Xa,Xb,Xc)| -s_t(Xa,Xb,Xc)|le(Xa,Xb,Xa,Xc)).
% 6.07/6.28 all Xa Xb Xc (-s_col(Xa,Xb,Xc)| -s_t(Xa,Xb,Xc)|le(Xb,Xc,Xa,Xc)).
% 6.07/6.28 all Xa Xb Xc (-s_t(Xa,Xb,Xc)| -s_e(Xa,Xc,Xa,Xb)|Xc=Xb).
% 6.07/6.28 all Xa Xb Xc (-s_col(Xa,Xb,Xc)|s_t(Xa,Xb,Xc)| -le(Xa,Xb,Xa,Xc)| -le(Xb,Xc,Xa,Xc)).
% 6.07/6.28 all Xa Xp Xb Xc (Xa=Xp|Xb=Xp|Xc=Xp| -s_t(Xa,Xp,Xc)| -s_t(Xb,Xp,Xc)|sameside(Xa,Xp,Xb)).
% 6.07/6.28 all Xa Xp Xb Xc (Xa=Xp|Xb=Xp|Xc=Xp| -s_t(Xa,Xp,Xc)|s_t(Xb,Xp,Xc)| -sameside(Xa,Xp,Xb)).
% 6.07/6.28 all Xa Xp Xb ((-sameside(Xa,Xp,Xb)|Xa!=Xp)& (-sameside(Xa,Xp,Xb)|Xb!=Xp)& (-sameside(Xa,Xp,Xb)|c63(Xa,Xp,Xb)!=Xp)& (-sameside(Xa,Xp,Xb)|s_t(Xa,Xp,c63(Xa,Xp,Xb)))& (-sameside(Xa,Xp,Xb)|s_t(Xb,Xp,c63(Xa,Xp,Xb)))).
% 6.07/6.28 all Xa Xp Xb Xc (sameside(Xa,Xp,Xb)|Xa=Xp|Xb=Xp|Xc=Xp| -s_t(Xa,Xp,Xc)| -s_t(Xb,Xp,Xc)).
% 6.07/6.28 all Xa Xp Xb ((-sameside(Xa,Xp,Xb)|s_col(Xa,Xp,Xb))& (-sameside(Xa,Xp,Xb)| -s_t(Xa,Xp,Xb))).
% 6.07/6.28 all Xa Xp Xb (sameside(Xa,Xp,Xb)| -s_col(Xa,Xp,Xb)|s_t(Xa,Xp,Xb)).
% 6.07/6.28 all Xa Xp (Xa=Xp|sameside(Xa,Xp,Xa)).
% 6.07/6.28 all Xa Xp Xb (-sameside(Xa,Xp,Xb)|sameside(Xb,Xp,Xa)).
% 6.07/6.28 all Xa Xp Xb Xc (-sameside(Xa,Xp,Xb)| -sameside(Xb,Xp,Xc)|sameside(Xa,Xp,Xc)).
% 6.07/6.28 all Xr Xa Xb Xc ((Xr=Xa|Xb=Xc|sameside(insert(Xb,Xc,Xa,Xr),Xa,Xr))& (Xr=Xa|Xb=Xc|s_e(Xa,insert(Xb,Xc,Xa,Xr),Xb,Xc))).
% 6.07/6.28 all Xr Xa Xb Xc Xp Xq (Xr=Xa|Xb=Xc| -sameside(Xp,Xa,Xr)| -s_e(Xa,Xp,Xb,Xc)| -sameside(Xq,Xa,Xr)| -s_e(Xa,Xq,Xb,Xc)|Xp=Xq).
% 6.07/6.28 all Xa Xp Xb (-sameside(Xa,Xp,Xb)| -le(Xp,Xa,Xp,Xb)|s_t(Xp,Xa,Xb)).
% 6.07/6.28 all Xa Xp Xb (-sameside(Xa,Xp,Xb)|le(Xp,Xa,Xp,Xb)| -s_t(Xp,Xa,Xb)).
% 6.07/6.28 all Xp Xq Xr Xa (Xp=Xq|Xp=Xr| -s_t(Xq,Xp,Xr)| -s_col(Xa,Xp,Xq)|Xa=Xp|sameside(Xa,Xp,Xq)|sameside(Xa,Xp,Xr)).
% 6.07/6.28 all Xp Xq Xr Xa (Xp=Xq|Xp=Xr| -s_t(Xq,Xp,Xr)| -sameside(Xa,Xp,Xq)|s_col(Xa,Xp,Xq)).
% 6.07/6.28 all Xp Xq Xr Xa (Xp=Xq|Xp=Xr| -s_t(Xq,Xp,Xr)| -sameside(Xa,Xp,Xr)|s_col(Xa,Xp,Xq)).
% 6.07/6.28 all Xp Xq Xr Xa (Xp=Xq|Xp=Xr| -s_t(Xq,Xp,Xr)|Xa!=Xp|s_col(Xa,Xp,Xq)).
% 6.07/6.28 all Xa Xb Xc Xd (Xa=Xb| -s_t(Xc,Xa,Xb)| -s_t(Xd,Xa,Xb)|s_t(Xd,Xc,Xb)|s_t(Xc,Xd,Xb)).
% 6.07/6.28 all Xp Xq Xcs Xr (Xp=Xq|Xcs=Xp| -s_col(Xp,Xq,Xcs)| -s_col(Xp,Xq,Xr)|s_col(Xp,Xcs,Xr)).
% 6.07/6.28 all Xp Xq (Xp=Xq|s_col(Xp,Xq,Xp)).
% 6.07/6.28 all Xp Xq Xr (Xp=Xq| -s_col(Xp,Xq,Xr)|s_col(Xq,Xp,Xr)).
% 6.07/6.28 all Xa Xb Xp Xq Xr (Xa=Xb|Xp=Xq| -s_col(Xp,Xq,Xa)| -s_col(Xp,Xq,Xb)| -s_col(Xp,Xq,Xr)|s_col(Xa,Xb,Xr)).
% 6.07/6.28 all Xa Xb Xp Xq Xc Xd Xe (Xa=Xb|Xp=Xq| -s_col(Xa,Xb,Xc)| -s_col(Xp,Xq,Xc)| -s_col(Xa,Xb,Xd)| -s_col(Xp,Xq,Xd)|Xc=Xd| -s_col(Xa,Xb,Xe)|s_col(Xp,Xq,Xe)).
% 6.07/6.28 all Xa Xb (Xa=Xb| -s_col(Xa,Xb,pointOffLine(Xa,Xb))).
% 6.07/6.28 all Xa Xb Xc Xa1 Xb1 Xc1 (-sameside(Xa,Xb,Xc)| -sameside(Xa1,Xb1,Xc1)| -s_e(Xb,Xa,Xb1,Xa1)| -s_e(Xb,Xc,Xb1,Xc1)|s_e(Xa,Xc,Xa1,Xc1)).
% 6.07/6.28 all Xa Xm Xb (-s_m(Xa,Xm,Xb)|s_m(Xb,Xm,Xa)).
% 6.07/6.28 all Xa Xm (-s_m(Xa,Xm,Xa)|Xm=Xa).
% 6.07/6.28 all Xa Xm (s_m(Xa,Xm,Xa)|Xm!=Xa).
% 6.07/6.28 all Xp Xa s_m(Xp,Xa,s(Xa,Xp)).
% 6.07/6.28 all Xp Xa Xr Xq (-s_m(Xp,Xa,Xr)| -s_m(Xp,Xa,Xq)|Xr=Xq).
% 6.07/6.28 all Xp Xa Xq (-s_m(Xp,Xa,Xq)|Xq=s(Xa,Xp)).
% 6.07/6.28 all Xa Xp (s(Xa,s(Xa,Xp))=Xp).
% 6.07/6.28 all Xa Xp Xr Xq (s(Xa,Xp)!=Xr|s(Xa,Xq)!=Xr|Xp=Xq).
% 6.07/6.28 all Xa Xp Xq (s(Xa,Xp)!=s(Xa,Xq)|Xp=Xq).
% 6.07/6.28 all Xa Xp (s(Xa,Xp)!=Xp|Xp=Xa).
% 6.07/6.28 all Xa Xp (s(Xa,Xp)=Xp|Xp!=Xa).
% 6.07/6.28 all Xp Xq Xa s_e(Xp,Xq,s(Xa,Xp),s(Xa,Xq)).
% 6.07/6.28 all Xp Xq Xr Xa (-s_t(Xp,Xq,Xr)|s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr))).
% 6.07/6.28 all Xp Xq Xr Xa (s_t(Xp,Xq,Xr)| -s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr))).
% 6.07/6.28 all Xp Xq Xr Xcs Xa (-s_e(Xp,Xq,Xr,Xcs)|s_e(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr),s(Xa,Xcs))).
% 6.07/6.28 all Xp Xq Xr Xcs Xa (s_e(Xp,Xq,Xr,Xcs)| -s_e(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr),s(Xa,Xcs))).
% 6.07/6.28 all Xp Xa Xq Xb (-s_m(Xp,Xa,Xq)| -s_m(Xp,Xb,Xq)|Xa=Xb).
% 6.07/6.28 all Xa Xp Xb (s(Xa,Xp)!=s(Xb,Xp)|Xa=Xb).
% 6.07/6.28 all Xa Xb Xp (s(Xa,s(Xb,Xp))!=s(Xb,s(Xa,Xp))|Xa=Xb).
% 6.07/6.28 all Xa Xm Xb (-s_col(Xa,Xm,Xb)| -s_e(Xm,Xa,Xm,Xb)|Xa=Xb|s_m(Xa,Xm,Xb)).
% 6.07/6.28 all Xa Xb Xc Xd Xp (s_col(Xa,Xb,Xc)|Xb=Xd| -s_e(Xa,Xb,Xc,Xd)| -s_e(Xb,Xc,Xd,Xa)| -s_col(Xa,Xp,Xc)| -s_col(Xb,Xp,Xd)|s_m(Xa,Xp,Xc)).
% 6.07/6.28 all Xa1 Xm1 Xb1 Xc Xb2 Xm2 Xa2 (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)|s_t(Xm1,Xc,Xm2)| -le(Xc,Xa1,Xc,Xa2)).
% 6.07/6.28 all Xa1 Xm1 Xb1 Xc Xb2 Xm2 Xa2 (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)|s_t(Xm1,Xc,Xm2)).
% 6.07/6.28 all Xa1 Xc Xa2 Xb1 Xb2 Xm1 Xm2 (-s_t(Xa1,Xc,Xa2)| -s_t(Xb1,Xc,Xb2)| -s_e(Xc,Xa1,Xc,Xb1)| -s_e(Xc,Xa2,Xc,Xb2)| -s_m(Xa1,Xm1,Xb1)| -s_m(Xa2,Xm2,Xb2)|s_t(Xm1,Xc,Xm2)).
% 6.07/6.28 all Xc Xa Xb (-s_e(Xc,Xa,Xc,Xb)|s_m(Xa,isomidpoint(Xa,Xb,Xc),Xb)).
% 6.07/6.28 all Xa Xb Xc (-s_r(Xa,Xb,Xc)|s_r(Xc,Xb,Xa)).
% 6.07/6.28 all Xa Xb Xc Xa1 (-s_r(Xa,Xb,Xc)|Xa=Xb| -s_col(Xb,Xa,Xa1)|s_r(Xa1,Xb,Xc)).
% 6.07/6.28 all Xa Xb Xc (-s_r(Xa,Xb,Xc)|s_r(Xa,Xb,s(Xb,Xc))).
% 6.07/6.28 all Xa Xb s_r(Xa,Xb,Xb).
% 6.07/6.28 all Xa Xb Xc Xa1 (-s_r(Xa,Xb,Xc)| -s_r(Xa1,Xb,Xc)| -s_t(Xa,Xc,Xa1)|Xb=Xc).
% 6.07/6.28 all Xa Xb Xc (-s_r(Xa,Xb,Xc)| -s_r(Xa,Xc,Xb)|Xb=Xc).
% 6.07/6.28 all Xa Xb (-s_r(Xa,Xb,Xa)|Xa=Xb).
% 6.07/6.28 all Xa Xb Xc (-s_r(Xa,Xb,Xc)| -s_col(Xa,Xb,Xc)|Xa=Xb|Xc=Xb).
% 6.07/6.28 all Xa Xb Xc Xa1 Xb1 Xc1 (-s_r(Xa,Xb,Xc)| -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)|s_r(Xa1,Xb1,Xc1)).
% 6.07/6.28 all Xa Xb Xc Xp Xq (-perpAt(Xa,Xb,Xc,Xp,Xq)|perpAt(Xp,Xq,Xc,Xa,Xb)).
% 6.07/6.28 all Xa Xb Xp Xq (-perp(Xa,Xb,Xp,Xq)|perp(Xp,Xq,Xa,Xb)).
% 6.07/6.28 all Xa Xb Xc Xp Xq ((-perpAt(Xa,Xb,Xc,Xp,Xq)|Xa!=Xb)& (-perpAt(Xa,Xb,Xc,Xp,Xq)|Xp!=Xq)& (-perpAt(Xa,Xb,Xc,Xp,Xq)|s_col(Xp,Xq,Xc))& (-perpAt(Xa,Xb,Xc,Xp,Xq)|s_col(Xa,Xb,Xc))& (-perpAt(Xa,Xb,Xc,Xp,Xq)|s_col(Xa,Xb,f813(Xa,Xb,Xp,Xq,Xc)))& (-perpAt(Xa,Xb,Xc,Xp,Xq)|s_col(Xp,Xq,g813(Xa,Xb,Xp,Xq,Xc)))& (-perpAt(Xa,Xb,Xc,Xp,Xq)|Xc!=f813(Xa,Xb,Xp,Xq,Xc))& (-perpAt(Xa,Xb,Xc,Xp,Xq)|Xc!=g813(Xa,Xb,Xp,Xq,Xc))& (-perpAt(Xa,Xb,Xc,Xp,Xq)|s_r(f813(Xa,Xb,Xp,Xq,Xc),Xc,g813(Xa,Xb,Xp,Xq,Xc)))).
% 6.07/6.28 all Xa Xb Xp Xq Xcx U V (Xa=Xb|Xp=Xq| -s_col(Xp,Xq,Xcx)| -s_col(Xa,Xb,Xcx)| -s_col(Xa,Xb,U)| -s_col(Xp,Xq,V)|Xcx=U|Xcx=V| -s_r(U,Xcx,V)|perpAt(Xa,Xb,Xcx,Xp,Xq)).
% 6.07/6.28 all Xa Xb Xp Xq (-perp(Xa,Xb,Xp,Xq)| -s_col(Xa,Xb,Xp)| -s_col(Xa,Xb,Xq)).
% 6.07/6.28 all Xa Xb Xp Xq Xc (-perp(Xa,Xb,Xp,Xq)| -s_col(Xa,Xb,Xc)| -s_col(Xp,Xq,Xc)|perpAt(Xa,Xb,Xc,Xp,Xq)).
% 6.07/6.28 all Xa Xb Xc Xp Xq (-perpAt(Xa,Xb,Xc,Xp,Xq)|Xc=il(Xa,Xb,Xp,Xq)).
% 6.07/6.28 all Xa Xb Xd Xc (Xa=Xb| -s_col(Xa,Xb,Xd)| -perp(Xa,Xb,Xc,Xd)|perpAt(Xa,Xb,Xd,Xc,Xd)).
% 6.07/6.28 all Xa Xb Xp Xq Xc ((Xa=Xb| -s_col(Xa,Xb,Xp)| -s_col(Xa,Xb,Xq)|Xq=Xp| -s_col(Xa,Xb,Xc)| -perp(Xa,Xb,Xc,Xp))& (Xa=Xb| -s_col(Xa,Xb,Xp)| -s_col(Xa,Xb,Xq)|Xq=Xp|s_r(Xc,Xp,Xq)| -perp(Xa,Xb,Xc,Xp))).
% 6.07/6.28 all Xa Xb Xp Xq Xc (Xa=Xb| -s_col(Xa,Xb,Xp)| -s_col(Xa,Xb,Xq)|Xq=Xp|perp(Xa,Xb,Xc,Xp)|s_col(Xa,Xb,Xc)| -s_r(Xc,Xp,Xq)).
% 6.07/6.28 all Xa Xb Xc Xp Xq (s_col(Xa,Xb,Xc)| -s_col(Xa,Xb,Xp)| -s_col(Xa,Xb,Xq)| -perp(Xa,Xb,Xc,Xp)| -perp(Xa,Xb,Xc,Xq)|Xp=Xq).
% 6.07/6.28 all Xa Xb Xc ((s_col(Xa,Xb,Xc)|s_col(Xa,Xb,foot(Xa,Xb,Xc)))& (s_col(Xa,Xb,Xc)|perp(Xa,Xb,Xc,foot(Xa,Xb,Xc)))).
% 6.07/6.28 all Xa Xb Xc Xp (-s_r(Xa,Xb,Xc)| -s_m(s(Xa,Xc),Xp,s(Xb,Xc))|s_r(Xb,Xa,Xp)).
% 6.07/6.28 all Xa Xb Xc Xp (-s_r(Xa,Xb,Xc)| -s_m(s(Xa,Xc),Xp,s(Xb,Xc))|Xb=Xc|Xa!=Xp).
% 6.07/6.28 all Xa Xb Xp Xq (-perp(Xa,Xb,Xp,Xq)|perp(Xb,Xa,Xp,Xq)).
% 6.07/6.28 all Xa Xb Xc Xd Xp (Xa=Xb|Xc=Xd| -s_col(Xa,Xb,Xc)| -s_col(Xa,Xb,Xd)| -s_col(Xc,Xd,Xp)|s_col(Xa,Xb,Xp)).
% 6.07/6.28 all Xa Xb Xc ((Xa=Xb|perp(Xa,Xb,erect21a(Xa,Xb,Xc),Xa)|s_col(Xa,Xb,Xc))& (Xa=Xb|s_col(Xa,Xb,erectAux21a(Xa,Xb,Xc))|s_col(Xa,Xb,Xc))& (Xa=Xb|s_t(Xc,erectAux21a(Xa,Xb,Xc),erect21a(Xa,Xb,Xc))|s_col(Xa,Xb,Xc))).
% 6.07/6.28 all Xa Xb Xc ((Xa=Xb|perp(Xa,Xb,erect(Xa,Xb,Xc),Xa))& (Xa=Xb|s_col(Xa,Xb,erectAux(Xa,Xb,Xc)))& (Xa=Xb|s_t(Xc,erectAux(Xa,Xb,Xc),erect(Xa,Xb,Xc)))).
% 6.07/6.28 all Xa Xp Xb Xq Xt (-le(Xa,Xp,Xb,Xq)| -perp(Xa,Xb,Xa,Xp)| -perp(Xa,Xb,Xb,Xq)| -s_t(Xp,Xt,Xq)| -s_col(Xa,Xb,Xt)|s_m(Xa,midpointAux(Xa,Xb,Xp,Xq,Xt),Xb)).
% 6.07/6.28 all Xa Xb s_m(Xa,midpoint(Xa,Xb),Xb).
% 6.07/6.28 all Xp Xa Xb Xq Xt Xr Xcx (-perp(Xp,Xa,Xa,Xb)| -perp(Xq,Xb,Xa,Xb)| -s_col(Xa,Xb,Xt)| -s_t(Xp,Xt,Xq)| -s_t(Xb,Xr,Xq)| -s_e(Xa,Xp,Xb,Xr)|Xcx!=ip(Xp,Xt,Xq,Xb,Xr)|s_m(Xa,Xcx,Xb)).
% 6.07/6.28 all Xp Xa Xb Xq Xt Xr Xcx (-perp(Xp,Xa,Xa,Xb)| -perp(Xq,Xb,Xa,Xb)| -s_col(Xa,Xb,Xt)| -s_t(Xp,Xt,Xq)| -s_t(Xb,Xr,Xq)| -s_e(Xa,Xp,Xb,Xr)|Xcx!=ip(Xp,Xt,Xq,Xb,Xr)|s_m(Xp,Xcx,Xr)).
% 6.07/6.28 all Xp Xa Xb Xq Xt Xr (-perp(Xp,Xa,Xa,Xb)| -perp(Xq,Xb,Xa,Xb)| -s_col(Xa,Xb,Xt)| -s_t(Xp,Xt,Xq)| -s_t(Xb,Xr,Xq)| -s_e(Xa,Xp,Xb,Xr)|s_m(Xp,midpoint(Xa,Xb),Xr)).
% 6.07/6.28 all Xa Xb Xc Xd (-s_col(Xa,Xb,Xc)| -s_col(Xa,Xb,Xd)|Xa=Xb|s_col(Xa,Xc,Xd)).
% 6.07/6.28 all Xa Xb Xp Xq Xr Xc Xd (-s_col(Xa,Xb,Xp)| -s_col(Xa,Xb,Xq)|Xp=Xq|Xa=Xb| -perpAt(Xp,Xq,Xr,Xc,Xd)|perpAt(Xa,Xb,Xr,Xc,Xd)).
% 6.07/6.28 all Xa Xb Xp Xq Xc Xd (-s_col(Xa,Xb,Xp)| -s_col(Xa,Xb,Xq)|Xp=Xq|Xa=Xb| -perp(Xp,Xq,Xc,Xd)|perp(Xa,Xb,Xc,Xd)).
% 6.07/6.28 all Xa Xb Xc Xd (Xa=Xb|Xa=Xc|Xb=Xc|Xd=Xc|Xa=Xd| -perp(Xb,Xa,Xa,Xc)| -s_col(Xa,Xc,Xd)|perp(Xb,Xa,Xa,Xd)).
% 6.07/6.28 all Xa Xb Xp Xq (-perp(Xa,Xb,Xp,Xq)|perp(Xa,Xb,Xq,Xp)).
% 6.07/6.28 all Xa Xb Xp Xq Xc Xd (-s_col(Xa,Xb,Xp)| -s_col(Xa,Xb,Xq)|Xp=Xq|Xa=Xb|perp(Xp,Xq,Xc,Xd)| -perp(Xa,Xb,Xc,Xd)).
% 6.07/6.28 -s_col(xa,xb,xp)| -s_col(xa,xb,xq)|xp=xq|xa=xb|perp(xc,xd,xp,xq)| -perp(xc,xd,xa,xb).
% 6.07/6.28 all Xa Xb Xc Xp Xq (-s_col(Xa,Xb,Xc)|Xa=Xb|Xa=Xc| -samesideline(Xp,Xq,Xa,Xb)|samesideline(Xp,Xq,Xa,Xc)).
% 6.07/6.28 all Xa Xb Xp Xq (Xa=Xb| -samesideline(Xp,Xq,Xa,Xb)|samesideline(Xp,Xq,Xb,Xa)).
% 6.07/6.28 all Xa Xp Xq Xb (-opposite(Xa,Xp,Xq,Xb)|opposite(Xb,Xp,Xq,Xa)).
% 6.07/6.28 all Xa Xp Xq Xc Xm Xr Xb (-opposite(Xa,Xp,Xq,Xc)| -s_col(Xp,Xq,Xm)| -s_m(Xa,Xm,Xc)| -s_col(Xp,Xq,Xr)| -sameside(Xa,Xr,Xb)|opposite(Xb,Xp,Xq,Xc)| -s_t(Xr,Xb,Xa)).
% 6.07/6.28 all Xa Xp Xq Xc Xm Xr Xb (-opposite(Xa,Xp,Xq,Xc)| -s_col(Xp,Xq,Xm)| -s_m(Xa,Xm,Xc)| -s_col(Xp,Xq,Xr)| -sameside(Xa,Xr,Xb)|opposite(Xb,Xp,Xq,Xc)).
% 6.07/6.28 all Xa Xb Xc Xm (-sameside(Xa,Xb,Xc)|sameside(s(Xm,Xa),s(Xm,Xb),s(Xm,Xc))).
% 6.07/6.28 all Xa Xp Xq Xc Xcs Xr Xm U (-opposite(Xa,Xp,Xq,Xc)|Xp=Xq| -s_col(Xp,Xq,Xcs)| -s_col(Xp,Xq,Xr)| -perp(Xp,Xq,Xa,Xr)| -perp(Xp,Xq,Xc,Xcs)| -s_m(Xr,Xm,Xcs)| -sameside(U,Xr,Xa)| -le(Xcs,Xc,Xr,Xa)|Xr=Xcs|sameside(s(Xm,U),Xcs,Xc)).
% 6.07/6.28 all Xa Xp Xq Xc Xcs Xr Xm U (-opposite(Xa,Xp,Xq,Xc)|Xp=Xq| -s_col(Xp,Xq,Xcs)| -s_col(Xp,Xq,Xr)| -perp(Xp,Xq,Xa,Xr)| -perp(Xp,Xq,Xc,Xcs)| -s_m(Xr,Xm,Xcs)|sameside(U,Xr,Xa)| -le(Xcs,Xc,Xr,Xa)|Xr=Xcs| -sameside(s(Xm,U),Xcs,Xc)).
% 6.07/6.28 all Xa Xp Xq Xc Xcs Xr Xm U (-opposite(Xa,Xp,Xq,Xc)|Xp=Xq| -s_col(Xp,Xq,Xcs)| -s_col(Xp,Xq,Xr)| -perp(Xp,Xq,Xa,Xr)| -perp(Xp,Xq,Xc,Xcs)| -s_m(Xr,Xm,Xcs)| -sameside(U,Xr,Xa)|Xr!=Xcs|sameside(s(Xm,U),Xcs,Xc)).
% 6.07/6.28 all Xa Xp Xq Xc Xcs Xr Xm U (-opposite(Xa,Xp,Xq,Xc)|Xp=Xq| -s_col(Xp,Xq,Xcs)| -s_col(Xp,Xq,Xr)| -perp(Xp,Xq,Xa,Xr)| -perp(Xp,Xq,Xc,Xcs)| -s_m(Xr,Xm,Xcs)| -sameside(U,Xr,Xa)|sameside(s(Xm,U),Xcs,Xc)).
% 6.07/6.28 all Xa Xp Xq Xc Xcs Xr Xm U V (-opposite(Xa,Xp,Xq,Xc)|Xp=Xq| -s_col(Xp,Xq,Xcs)| -s_col(Xp,Xq,Xr)| -perp(Xp,Xq,Xa,Xr)| -perp(Xp,Xq,Xc,Xcs)| -s_m(Xr,Xm,Xcs)| -sameside(U,Xr,Xa)| -sameside(V,Xcs,Xc)|opposite(U,Xp,Xq,V)).
% 6.07/6.28 all Xa Xp Xq Xc Xr Xb (-opposite(Xa,Xp,Xq,Xc)| -s_col(Xp,Xq,Xr)| -sameside(Xa,Xr,Xb)|opposite(Xb,Xp,Xq,Xc)).
% 6.07/6.28 all Xa Xc Xp Xb Xq ((-s_t(Xa,Xc,Xp)| -s_t(Xb,Xq,Xc)|s_t(Xa,op(Xq,Xb,Xp,Xc,Xa),Xb))& (-s_t(Xa,Xc,Xp)| -s_t(Xb,Xq,Xc)|s_t(Xp,Xq,op(Xq,Xb,Xp,Xc,Xa)))).
% 6.07/6.28 all Xa Xp Xq Xc Xb (-opposite(Xa,Xp,Xq,Xc)|opposite(Xb,Xp,Xq,Xc)| -samesideline(Xa,Xb,Xp,Xq)).
% 6.07/6.28 all Xa Xp Xq Xb (-opposite(Xa,Xp,Xq,Xb)| -samesideline(Xa,Xb,Xp,Xq)).
% 6.07/6.28 all Xp Xq Xa Xb Xc (Xp=Xq| -samesideline(Xa,Xb,Xp,Xq)| -samesideline(Xb,Xc,Xp,Xq)|samesideline(Xa,Xc,Xp,Xq)).
% 6.07/6.28 all Xp Xq Xa Xb (-samesideline(Xp,Xq,Xa,Xb)|samesideline(Xp,Xq,Xb,Xa)).
% 6.07/6.28 all Xa Xb U V W (Xa=Xb| -s_m(U,V,W)| -s_col(Xa,Xb,U)| -s_col(Xa,Xb,W)|s_col(Xa,Xb,V)).
% 6.07/6.28 all Xd Xe Xd1 Xa Xb (Xd=Xe| -s_t(Xe,Xd,Xd1)| -samesideline(Xa,Xb,Xd1,Xe)|samesideline(Xa,Xb,Xd,Xe)).
% 6.07/6.28 all Xa Xb Xp Xq (Xa=Xb| -samesideline(Xp,Xq,Xa,Xb)|samesideline(Xq,Xp,Xa,Xb)).
% 6.07/6.28 all Xa Xp Xq Xb Xc (-opposite(Xa,Xp,Xq,Xb)| -samesideline(Xb,Xc,Xp,Xq)|opposite(Xa,Xp,Xq,Xc)).
% 6.07/6.28 all Xp Xq Xc Xa Xb (Xp=Xq| -perpAt(Xp,Xq,Xc,Xa,Xc)| -perpAt(Xp,Xq,Xc,Xb,Xc)|Xa=Xc|s_col(Xc,Xa,Xb)).
% 6.07/6.28 all Xp Xq Xr Xcs (Xp=Xq|s_col(Xp,Xq,Xr)|s_col(Xp,Xq,Xcs)|samesideline(Xr,Xcs,Xp,Xq)|opposite(Xr,Xp,Xq,Xcs)|Xp!=foot(Xp,Xq,Xr)).
% 6.07/6.28 all Xp Xq Xr Xcs (Xp=Xq|s_col(Xp,Xq,Xr)|s_col(Xp,Xq,Xcs)|samesideline(Xr,Xcs,Xp,Xq)|opposite(Xr,Xp,Xq,Xcs)|Xp=foot(Xp,Xq,Xr)).
% 6.07/6.28 all Xp Xq Xr Xcs (Xp=Xq|s_col(Xp,Xq,Xr)|s_col(Xp,Xq,Xcs)|samesideline(Xr,Xcs,Xp,Xq)|opposite(Xr,Xp,Xq,Xcs)).
% 6.07/6.29 all Xa Xb Xp Xq Xr (-samesideline(Xa,Xb,Xp,Xq)| -sameside(Xa,Xq,Xr)|samesideline(Xr,Xb,Xp,Xq)).
% 6.07/6.29 all Xc Xd Xp Xa Xb (Xc=Xd| -s_col(Xc,Xd,Xp)| -s_col(Xa,Xb,Xp)| -sameside(Xa,Xp,Xb)|s_col(Xc,Xd,Xa)|samesideline(Xa,Xb,Xc,Xd)).
% 6.07/6.29 all Xa Xb Xp ((Xa=Xb|s_col(Xa,Xb,midpoint(Xp,reflect(Xa,Xb,Xp))))& (Xa=Xb|Xp=reflect(Xa,Xb,Xp)|perp(Xa,Xb,Xp,reflect(Xa,Xb,Xp)))).
% 6.07/6.29 all Xa Xb Xp Xp1 ((Xa=Xb| -s_col(Xa,Xb,midpoint(Xp,Xp1))| -perp(Xa,Xb,Xp,Xp1)|Xp1=reflect(Xa,Xb,Xp))& (Xa=Xb| -s_col(Xa,Xb,midpoint(Xp,Xp1))|Xp!=Xp1|Xp1=reflect(Xa,Xb,Xp))).
% 6.07/6.29 all Xa Xb Xp Xp1 (Xa=Xb|reflect(Xa,Xb,Xp)!=Xp1|reflect(Xa,Xb,Xp1)=Xp).
% 6.07/6.29 all Xa Xb Xp (Xa=Xb|reflect(Xa,Xb,reflect(Xa,Xb,Xp))=Xp).
% 6.07/6.29 all Xa Xb Xp Xp1 (Xa=Xb|reflect(Xa,Xb,Xp)!=Xp1|Xp=reflect(Xa,Xb,Xp1)).
% 6.07/6.29 all Xa Xb Xp Xq (Xa=Xb|reflect(Xa,Xb,Xp)!=reflect(Xa,Xb,Xq)|Xp=Xq).
% 6.07/6.29 all Xa Xb Xp (Xa=Xb|reflect(Xa,Xb,Xp)!=Xp|s_col(Xa,Xb,Xp)).
% 6.07/6.29 all Xa Xb Xp (Xa=Xb| -s_col(Xa,Xb,Xp)|reflect(Xa,Xb,Xp)=Xp).
% 6.07/6.29 all Xa Xb Xp Xq (Xa=Xb| -s_col(Xa,Xb,Xp)|s_e(Xp,Xq,reflect(Xa,Xb,Xp),reflect(Xa,Xb,Xq))).
% 6.07/6.29 all Xa Xb Xp Xq (Xa=Xb|s_e(Xp,Xq,reflect(Xa,Xb,Xp),reflect(Xa,Xb,Xq))).
% 6.07/6.29 -(all Xa Xb Xc Xa1 (-s_r(Xa,Xb,Xc)| -s_r(Xa1,Xb,Xc)| -s_e(Xa,Xb,Xa1,Xb)|s_e(Xa,Xc,Xa1,Xc))).
% 6.07/6.29 all Xa Xb Xa1 Xc1 (insert(Xa,Xb,Xa1,Xc1)=ext(ext(Xc1,Xa1,alpha,gamma),Xa1,Xa,Xb)).
% 6.07/6.29 all Xa Xb Xc Xd Za Zb Zc Zd ((-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_t(Xa,Xb,Xc))& (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_t(Za,Zb,Zc))& (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xa,Xb,Za,Zb))& (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xb,Xc,Zb,Zc))& (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xa,Xd,Za,Zd))& (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xb,Xd,Zb,Zd))& (-s_t(Xa,Xb,Xc)| -s_t(Za,Zb,Zc)| -s_e(Xa,Xb,Za,Zb)| -s_e(Xb,Xc,Zb,Zc)| -s_e(Xa,Xd,Za,Zd)| -s_e(Xb,Xd,Zb,Zd)|s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd))).
% 6.07/6.29 all Xa Xb Xc Xd Za Zb Zc Zd ((-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_t(Xa,Xb,Xc))& (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_t(Za,Zb,Zc))& (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xa,Xc,Za,Zc))& (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xb,Xc,Zb,Zc))& (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xa,Xd,Za,Zd))& (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xc,Xd,Zc,Zd))& (-s_t(Xa,Xb,Xc)| -s_t(Za,Zb,Zc)| -s_e(Xa,Xc,Za,Zc)| -s_e(Xb,Xc,Zb,Zc)| -s_e(Xa,Xd,Za,Zd)| -s_e(Xc,Xd,Zc,Zd)|s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd))).
% 6.07/6.29 all Xa1 Xa2 Xa3 Xb1 Xb2 Xb3 ((-s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)|s_e(Xa1,Xa2,Xb1,Xb2))& (-s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)|s_e(Xa1,Xa3,Xb1,Xb3))& (-s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)|s_e(Xa2,Xa3,Xb2,Xb3))& (-s_e(Xa1,Xa2,Xb1,Xb2)| -s_e(Xa1,Xa3,Xb1,Xb3)| -s_e(Xa2,Xa3,Xb2,Xb3)|s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3))).
% 6.07/6.29 all Xa Xb Xc ((-s_col(Xa,Xb,Xc)|s_t(Xa,Xb,Xc)|s_t(Xb,Xc,Xa)|s_t(Xc,Xa,Xb))& (s_col(Xa,Xb,Xc)| -s_t(Xa,Xb,Xc))& (s_col(Xa,Xb,Xc)| -s_t(Xb,Xc,Xa))& (s_col(Xa,Xb,Xc)| -s_t(Xc,Xa,Xb))).
% 6.07/6.29 all Xa Xb Xc Xd Xa1 Xb1 Xc1 Xd1 ((-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|s_col(Xa,Xb,Xc))& (-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1))& (-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|s_e(Xa,Xd,Xa1,Xd1))& (-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|s_e(Xb,Xd,Xb1,Xd1))& (-s_col(Xa,Xb,Xc)| -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)| -s_e(Xa,Xd,Xa1,Xd1)| -s_e(Xb,Xd,Xb1,Xd1)|s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1))).
% 6.07/6.29 all Xa Xb Xc Xd Y ((-le(Xa,Xb,Xc,Xd)|s_t(Xc,insert(Xa,Xb,Xc,Xd),Xd))& (-le(Xa,Xb,Xc,Xd)|s_e(Xa,Xb,Xc,insert(Xa,Xb,Xc,Xd)))& (-s_t(Xc,Y,Xd)| -s_e(Xa,Xb,Xc,Y)|le(Xa,Xb,Xc,Xd))).
% 6.07/6.29 all Xa Xp Xb ((-sameside(Xa,Xp,Xb)|Xa!=Xp)& (-sameside(Xa,Xp,Xb)|Xb!=Xp)& (-sameside(Xa,Xp,Xb)|s_t(Xp,Xa,Xb)|s_t(Xp,Xb,Xa))& (-s_t(Xp,Xa,Xb)|Xa=Xp|xb=Xp|sameside(Xa,Xp,Xb))& (-s_t(Xp,Xb,Xa)|Xa=Xp|Xb=Xp|sameside(Xa,Xp,Xb))).
% 6.07/6.29 all Xa Xm Xb ((-s_m(Xa,Xm,Xb)|s_t(Xa,Xm,Xb))& (-s_m(Xa,Xm,Xb)|s_e(Xm,Xa,Xm,Xb))& (-s_t(Xa,Xm,Xb)| -s_e(Xm,Xa,Xm,Xb)|s_m(Xa,Xm,Xb))).
% 6.07/6.29 all Xa1 Xm1 Xb1 Xc Xb2 Xm2 Xa2 ((-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)|s_t(Xa1,Xc,Xa2))& (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)|s_t(Xb1,Xc,Xb2))& (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)|s_e(Xc,Xa1,Xc,Xb1))& (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)|s_e(Xc,Xa2,Xc,Xb2))& (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)|s_m(Xa1,Xm1,Xb1))& (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)|s_m(Xa2,Xm2,Xb2))& (-s_t(Xa1,Xc,Xa2)| -s_t(Xb1,Xc,Xb2)| -s_e(Xc,Xa1,Xc,Xb1)| -s_e(Xc,Xa2,Xc,Xb2)| -s_m(Xa1,Xm1,Xb1)| -s_m(Xa2,Xm2,Xb2)|s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2))).
% 6.07/6.29 all Xa Xb Xc ((-s_r(Xa,Xb,Xc)|s_e(Xa,Xc,Xa,s(Xb,Xc)))& (s_r(Xa,Xb,Xc)| -s_e(Xa,Xc,Xa,s(Xb,Xc)))).
% 6.07/6.29 all Y Z X Y1 Z1 U V ((-perpAt(Y,Z,X,Y1,Z1)|s_col(Y,Z,X))& (-perpAt(Y,Z,X,Y1,Z1)|s_col(Y1,Z1,X))& (-perpAt(Y,Z,X,Y1,Z1)|Y!=Z)& (-perpAt(Y,Z,X,Y1,Z1)|Y1!=Z1)& (-perpAt(Y,Z,X,Y1,Z1)| -s_col(Y,Z,U)| -s_col(Y1,Z1,V)|s_r(U,X,V))& (perpAt(Y,Z,X,Y1,Z1)|Y=Z|Y1=Z1| -s_col(Y,Z,X)| -s_col(Y1,Z1,X)|s_col(Y,Z,f811(Y,Z,Y1,Z1,X)))& (perpAt(Y,Z,X,Y1,Z1)|Y=Z|Y1=Z1| -s_col(Y,Z,X)| -s_col(Y1,Z1,X)|s_col(Y1,Z1,g811(Y,Z,Y1,Z1,X)))& (perpAt(Y,Z,X,Y1,Z1)|Y=Z|Y1=Z1| -s_col(Y,Z,X)| -s_col(Y1,Z1,X)| -s_r(f811(Y,Z,Y1,Z1,X),X,g811(Y,Z,Y1,Z1,X)))).
% 6.07/6.29 all Xp Xq Xp1 Xq1 X ((-perp(Xp,Xq,Xp1,Xq1)|perpAt(Xp,Xq,il(Xp,Xq,Xp1,Xq1),Xp1,Xq1))& (perp(Xp,Xq,Xp1,Xq1)| -perpAt(Xp,Xq,X,Xp1,Xq1))).
% 6.07/6.29 all Xp Xq Xa Xb Xt ((Xp=Xq|s_col(Xp,Xq,Xa)|s_col(Xp,Xq,Xb)| -s_t(Xa,Xt,Xb)| -s_col(Xp,Xq,Xt)|opposite(Xa,Xp,Xq,Xb))& (-opposite(Xa,Xp,Xq,Xb)| -s_col(Xp,Xq,Xa))& (-opposite(Xa,Xp,Xq,Xb)| -s_col(Xp,Xq,Xb))& (-opposite(Xa,Xp,Xq,Xb)|s_t(Xa,il(Xa,Xb,Xp,Xq),Xb))& (-opposite(Xa,Xp,Xq,Xb)|s_col(Xp,Xq,il(Xa,Xb,Xp,Xq)))).
% 6.07/6.29 all Xa Xb Xp Xq Xu Xc Xv ((-samesideline(Xa,Xb,Xp,Xq)|s_col(Xp,Xq,ss1(Xa,Xb,Xp,Xq)))& (-samesideline(Xa,Xb,Xp,Xq)|s_col(Xp,Xq,ss2(Xa,Xb,Xp,Xq)))& (-samesideline(Xa,Xb,Xp,Xq)|s_t(Xa,ss1(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq)))& (-samesideline(Xa,Xb,Xp,Xq)|s_t(Xb,ss2(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq)))& (-samesideline(Xa,Xb,Xp,Xq)|Xa!=ss1(Xa,Xb,Xp,Xq))& (-samesideline(Xa,Xb,Xp,Xq)|Xb!=ss2(Xa,Xb,Xp,Xq))& (-samesideline(Xa,Xb,Xp,Xq)|ss3(Xa,Xb,Xp,Xq)!=ss1(Xa,Xb,Xp,Xq))& (-samesideline(Xa,Xb,Xp,Xq)|ss3(Xa,Xb,Xp,Xq)!=ss2(Xa,Xb,Xp,Xq))& (-samesideline(Xa,Xb,Xp,Xq)|Xp!=Xq)& (-samesideline(Xa,Xb,Xp,Xq)| -s_col(Xp,Xq,Xa))& (-samesideline(Xa,Xb,Xp,Xq)| -s_col(Xp,Xq,Xb))& (-s_t(Xa,Xu,Xc)| -s_t(Xb,Xv,Xc)| -s_col(Xp,Xq,Xu)| -s_col(Xp,Xq,Xv)|Xp=Xq|Xc=Xu|Xc=Xv|Xa=Xu|Xb=Xv|s_col(Xp,Xq,Xa)|s_col(Xp,Xq,Xb)|samesideline(Xa,Xb,Xp,Xq))).
% 6.07/6.29 end_of_list.
% 6.07/6.29
% 6.07/6.29 -------> usable clausifies to:
% 6.07/6.29
% 6.07/6.29 list(usable).
% 6.07/6.29 0 [] A=A.
% 6.07/6.29 0 [] s_e(X,Y,Y,X).
% 6.07/6.29 0 [] -s_e(X,Y,Z,V)| -s_e(X,Y,Z2,V2)|s_e(Z,V,Z2,V2).
% 6.07/6.29 0 [] -s_e(X,Y,Z,Z)|X=Y.
% 6.07/6.29 0 [] s_t(X,Y,ext(X,Y,W,V)).
% 6.07/6.29 0 [] s_e(Y,ext(X,Y,W,V),W,V).
% 6.07/6.29 0 [] -s_e(X,Y,X1,Y1)| -s_e(Y,Z,Y1,Z1)| -s_e(X,V,X1,V1)| -s_e(Y,V,Y1,V1)| -s_t(X,Y,Z)| -s_t(X1,Y1,Z1)|X=Y|s_e(Z,V,Z1,V1).
% 6.07/6.29 0 [] -s_t(X,Y,X)|X=Y.
% 6.07/6.29 0 [] -s_t(Xa,Xp,Xc)| -s_t(Xb,Xq,Xc)|s_t(Xp,ip(Xa,Xp,Xc,Xb,Xq),Xb).
% 6.07/6.29 0 [] -s_t(Xa,Xp,Xc)| -s_t(Xb,Xq,Xc)|s_t(Xq,ip(Xa,Xp,Xc,Xb,Xq),Xa).
% 6.07/6.29 0 [] -s_t(alpha,beta,gamma).
% 6.07/6.29 0 [] -s_t(beta,gamma,alpha).
% 6.07/6.29 0 [] -s_t(gamma,alpha,beta).
% 6.07/6.29 0 [] s_e(Xa,Xb,Xa,Xb).
% 6.07/6.29 0 [] -s_e(Xa,Xb,Xc,Xd)|s_e(Xc,Xd,Xa,Xb).
% 6.07/6.29 0 [] -s_e(Xa,Xb,Xc,Xd)| -s_e(Xc,Xd,Xe,Xf)|s_e(Xa,Xb,Xe,Xf).
% 6.07/6.29 0 [] -s_e(Xa,Xb,Xc,Xd)|s_e(Xb,Xa,Xc,Xd).
% 6.07/6.29 0 [] -s_e(Xa,Xb,Xc,Xd)|s_e(Xa,Xb,Xd,Xc).
% 6.07/6.29 0 [] s_e(Xa,Xa,Xb,Xb).
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xc)| -s_t(Xa1,Xb1,Xc1)| -s_e(Xa,Xb,Xa1,Xb1)| -s_e(Xb,Xc,Xb1,Xc1)|s_e(Xa,Xc,Xa1,Xc1).
% 6.07/6.29 0 [] Xq=Xa| -s_t(Xq,Xa,Xd)| -s_e(Xa,Xd,Xb,Xc)|Xd=ext(Xq,Xa,Xb,Xc).
% 6.07/6.29 0 [] -s_e(Xb,Xc,Xa,Xa)|Xb=Xc.
% 6.07/6.29 0 [] -s_e(Xa,Xb,Xc,Xd)|s_e(Xb,Xa,Xd,Xc).
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xc)| -s_t(XA,XB,XC)| -s_e(Xa,Xb,XB,XC)| -s_e(Xb,Xc,XA,XB)|s_e(Xa,Xc,XA,XC).
% 6.07/6.29 0 [] s_t(Xa,Xb,Xb).
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xc)|s_t(Xc,Xb,Xa).
% 6.07/6.29 0 [] s_t(Xa1,Xa1,Xb1).
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xc)| -s_t(Xb,Xa,Xc)|Xa=Xb.
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xd)| -s_t(Xb,Xc,Xd)|s_t(Xa,Xb,Xc).
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xc)| -s_t(Xa,Xc,Xd)|s_t(Xb,Xc,Xd).
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xc)| -s_t(Xb,Xc,Xd)|Xb=Xc|s_t(Xa,Xc,Xd).
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xd)| -s_t(Xb,Xc,Xd)|s_t(Xa,Xc,Xd).
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xc)| -s_t(Xa,Xc,Xd)|s_t(Xa,Xb,Xd).
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xc)| -s_t(Xb,Xc,Xd)|Xb=Xc|s_t(Xa,Xb,Xd).
% 6.07/6.29 0 [] alpha!=beta.
% 6.07/6.29 0 [] beta!=gamma.
% 6.07/6.29 0 [] alpha!=gamma.
% 6.07/6.29 0 [] s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma)).
% 6.07/6.29 0 [] Xb!=ext(Xa,Xb,alpha,gamma).
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xc)| -s_t(Xa1,Xb1,Xc)| -s_t(Xa,Xp,Xa1)|s_t(Xp,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xc).
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xc)| -s_t(Xa1,Xb1,Xc)| -s_t(Xa,Xp,Xa1)|s_t(Xb,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xb1).
% 6.07/6.29 0 [] -s_ifs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|s_e(Xb,Xd,Xb1,Xd1).
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xc)| -s_t(Xa1,Xb1,Xc1)| -s_e(Xa,Xc,Xa1,Xc1)| -s_e(Xb,Xc,Xb1,Xc1)|s_e(Xa,Xb,Xa1,Xb1).
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xc)| -s_e(Xa,Xc,Xa1,Xc1)|s_t(Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1).
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xc)| -s_e(Xa,Xc,Xa1,Xc1)|s_e3(Xa,Xb,Xc,Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1).
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xc)| -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)|s_t(Xa1,Xb1,Xc1).
% 6.07/6.29 0 [] -s_col(Xa,Xb,Xc)|s_col(Xb,Xc,Xa).
% 6.07/6.29 0 [] -s_col(Xa,Xb,Xc)|s_col(Xc,Xa,Xb).
% 6.07/6.29 0 [] -s_col(Xa,Xb,Xc)|s_col(Xc,Xb,Xa).
% 6.07/6.29 0 [] -s_col(Xa,Xb,Xc)|s_col(Xb,Xa,Xc).
% 6.07/6.29 0 [] -s_col(Xa,Xb,Xc)|s_col(Xa,Xc,Xb).
% 6.07/6.29 0 [] s_col(Xa,Xa,Xb).
% 6.07/6.29 0 [] s_col(Xa,Xb,Xa).
% 6.07/6.29 0 [] -s_col(Xa,Xb,Xc)| -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)|s_col(Xa1,Xb1,Xc1).
% 6.07/6.29 0 [] -s_col(Xa,Xb,Xc)| -s_e(Xa,Xb,Xa1,Xb1)|s_e3(Xa,Xb,Xc,Xa1,Xb1,insert5(Xa,Xb,Xc,Xa1,Xb1)).
% 6.07/6.29 0 [] -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|Xa=Xb|s_e(Xc,Xd,Xc1,Xd1).
% 6.07/6.29 0 [] Xa=Xb| -s_col(Xa,Xb,Xc)| -s_e(Xa,Xp,Xa,Xq)| -s_e(Xb,Xp,Xb,Xq)|s_e(Xc,Xp,Xc,Xq).
% 6.07/6.29 0 [] Xa=Xb| -s_col(Xa,Xb,Xc)| -s_e(Xa,Xc,Xa,Xc1)| -s_e(Xb,Xc,Xb,Xc1)|Xc=Xc1.
% 6.07/6.29 0 [] -s_t(Xa,Xc,Xb)| -s_e(Xa,Xc,Xa,Xc1)| -s_e(Xb,Xc,Xb,Xc1)|Xc=Xc1.
% 6.07/6.29 0 [] Xa=Xb| -s_t(Xa,Xb,Xc)| -s_t(Xa,Xb,Xd)|s_t(Xa,Xc,Xd)|s_t(Xa,Xd,Xc).
% 6.07/6.29 0 [] Xa=Xb| -s_t(Xa,Xb,Xc)| -s_t(Xa,Xb,Xd)|s_t(Xb,Xc,Xd)|s_t(Xb,Xd,Xc).
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xd)| -s_t(Xa,Xc,Xd)|s_t(Xa,Xb,Xc)|s_t(Xa,Xc,Xb).
% 6.07/6.29 0 [] -le(Xa,Xb,Xc,Xd)|s_t(Xa,Xb,ins(Xc,Xd,Xa,Xb)).
% 6.07/6.29 0 [] -le(Xa,Xb,Xc,Xd)|s_e(Xa,ins(Xc,Xd,Xa,Xb),Xc,Xd).
% 6.07/6.29 0 [] -le(Xa,Xb,Xc,Xd)|ins(Xc,Xd,Xa,Xb)=ext(Xa,Xb,insert(Xa,Xb,Xc,Xd),Xd).
% 6.07/6.29 0 [] le(Xa,Xb,Xc,Xd)| -s_t(Xa,Xb,Xe)| -s_e(Xa,Xe,Xc,Xd).
% 6.07/6.29 0 [] -le(Xa,Xb,Xc,Xd)| -s_e(Xa,Xb,Xa1,Xb1)| -s_e(Xc,Xd,Xc1,Xd1)|le(Xa1,Xb1,Xc1,Xd1).
% 6.07/6.29 0 [] le(Xa,Xb,Xa,Xb).
% 6.07/6.29 0 [] -le(Xa,Xb,Xc,Xd)| -le(Xc,Xd,Xe,Xf)|le(Xa,Xb,Xe,Xf).
% 6.07/6.29 0 [] -le(Xa,Xb,Xc,Xd)| -le(Xc,Xd,Xa,Xb)|s_e(Xa,Xb,Xc,Xd).
% 6.07/6.29 0 [] le(Xa,Xb,Xc,Xd)|le(Xc,Xd,Xa,Xb).
% 6.07/6.29 0 [] le(Xa,Xa,Xc,Xd).
% 6.07/6.29 0 [] -s_col(Xa,Xb,Xc)| -s_t(Xa,Xb,Xc)|le(Xa,Xb,Xa,Xc).
% 6.07/6.29 0 [] -s_col(Xa,Xb,Xc)| -s_t(Xa,Xb,Xc)|le(Xb,Xc,Xa,Xc).
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xc)| -s_e(Xa,Xc,Xa,Xb)|Xc=Xb.
% 6.07/6.29 0 [] -s_col(Xa,Xb,Xc)|s_t(Xa,Xb,Xc)| -le(Xa,Xb,Xa,Xc)| -le(Xb,Xc,Xa,Xc).
% 6.07/6.29 0 [] Xa=Xp|Xb=Xp|Xc=Xp| -s_t(Xa,Xp,Xc)| -s_t(Xb,Xp,Xc)|sameside(Xa,Xp,Xb).
% 6.07/6.29 0 [] Xa=Xp|Xb=Xp|Xc=Xp| -s_t(Xa,Xp,Xc)|s_t(Xb,Xp,Xc)| -sameside(Xa,Xp,Xb).
% 6.07/6.29 0 [] -sameside(Xa,Xp,Xb)|Xa!=Xp.
% 6.07/6.29 0 [] -sameside(Xa,Xp,Xb)|Xb!=Xp.
% 6.07/6.29 0 [] -sameside(Xa,Xp,Xb)|c63(Xa,Xp,Xb)!=Xp.
% 6.07/6.29 0 [] -sameside(Xa,Xp,Xb)|s_t(Xa,Xp,c63(Xa,Xp,Xb)).
% 6.07/6.29 0 [] -sameside(Xa,Xp,Xb)|s_t(Xb,Xp,c63(Xa,Xp,Xb)).
% 6.07/6.29 0 [] sameside(Xa,Xp,Xb)|Xa=Xp|Xb=Xp|Xc=Xp| -s_t(Xa,Xp,Xc)| -s_t(Xb,Xp,Xc).
% 6.07/6.29 0 [] -sameside(Xa,Xp,Xb)|s_col(Xa,Xp,Xb).
% 6.07/6.29 0 [] -sameside(Xa,Xp,Xb)| -s_t(Xa,Xp,Xb).
% 6.07/6.29 0 [] sameside(Xa,Xp,Xb)| -s_col(Xa,Xp,Xb)|s_t(Xa,Xp,Xb).
% 6.07/6.29 0 [] Xa=Xp|sameside(Xa,Xp,Xa).
% 6.07/6.29 0 [] -sameside(Xa,Xp,Xb)|sameside(Xb,Xp,Xa).
% 6.07/6.29 0 [] -sameside(Xa,Xp,Xb)| -sameside(Xb,Xp,Xc)|sameside(Xa,Xp,Xc).
% 6.07/6.29 0 [] Xr=Xa|Xb=Xc|sameside(insert(Xb,Xc,Xa,Xr),Xa,Xr).
% 6.07/6.29 0 [] Xr=Xa|Xb=Xc|s_e(Xa,insert(Xb,Xc,Xa,Xr),Xb,Xc).
% 6.07/6.29 0 [] Xr=Xa|Xb=Xc| -sameside(Xp,Xa,Xr)| -s_e(Xa,Xp,Xb,Xc)| -sameside(Xq,Xa,Xr)| -s_e(Xa,Xq,Xb,Xc)|Xp=Xq.
% 6.07/6.29 0 [] -sameside(Xa,Xp,Xb)| -le(Xp,Xa,Xp,Xb)|s_t(Xp,Xa,Xb).
% 6.07/6.29 0 [] -sameside(Xa,Xp,Xb)|le(Xp,Xa,Xp,Xb)| -s_t(Xp,Xa,Xb).
% 6.07/6.29 0 [] Xp=Xq|Xp=Xr| -s_t(Xq,Xp,Xr)| -s_col(Xa,Xp,Xq)|Xa=Xp|sameside(Xa,Xp,Xq)|sameside(Xa,Xp,Xr).
% 6.07/6.29 0 [] Xp=Xq|Xp=Xr| -s_t(Xq,Xp,Xr)| -sameside(Xa,Xp,Xq)|s_col(Xa,Xp,Xq).
% 6.07/6.29 0 [] Xp=Xq|Xp=Xr| -s_t(Xq,Xp,Xr)| -sameside(Xa,Xp,Xr)|s_col(Xa,Xp,Xq).
% 6.07/6.29 0 [] Xp=Xq|Xp=Xr| -s_t(Xq,Xp,Xr)|Xa!=Xp|s_col(Xa,Xp,Xq).
% 6.07/6.29 0 [] Xa=Xb| -s_t(Xc,Xa,Xb)| -s_t(Xd,Xa,Xb)|s_t(Xd,Xc,Xb)|s_t(Xc,Xd,Xb).
% 6.07/6.29 0 [] Xp=Xq|Xcs=Xp| -s_col(Xp,Xq,Xcs)| -s_col(Xp,Xq,Xr)|s_col(Xp,Xcs,Xr).
% 6.07/6.29 0 [] Xp=Xq|s_col(Xp,Xq,Xp).
% 6.07/6.29 0 [] Xp=Xq| -s_col(Xp,Xq,Xr)|s_col(Xq,Xp,Xr).
% 6.07/6.29 0 [] Xa=Xb|Xp=Xq| -s_col(Xp,Xq,Xa)| -s_col(Xp,Xq,Xb)| -s_col(Xp,Xq,Xr)|s_col(Xa,Xb,Xr).
% 6.07/6.29 0 [] Xa=Xb|Xp=Xq| -s_col(Xa,Xb,Xc)| -s_col(Xp,Xq,Xc)| -s_col(Xa,Xb,Xd)| -s_col(Xp,Xq,Xd)|Xc=Xd| -s_col(Xa,Xb,Xe)|s_col(Xp,Xq,Xe).
% 6.07/6.29 0 [] Xa=Xb| -s_col(Xa,Xb,pointOffLine(Xa,Xb)).
% 6.07/6.29 0 [] -sameside(Xa,Xb,Xc)| -sameside(Xa1,Xb1,Xc1)| -s_e(Xb,Xa,Xb1,Xa1)| -s_e(Xb,Xc,Xb1,Xc1)|s_e(Xa,Xc,Xa1,Xc1).
% 6.07/6.29 0 [] -s_m(Xa,Xm,Xb)|s_m(Xb,Xm,Xa).
% 6.07/6.29 0 [] -s_m(Xa,Xm,Xa)|Xm=Xa.
% 6.07/6.29 0 [] s_m(Xa,Xm,Xa)|Xm!=Xa.
% 6.07/6.29 0 [] s_m(Xp,Xa,s(Xa,Xp)).
% 6.07/6.29 0 [] -s_m(Xp,Xa,Xr)| -s_m(Xp,Xa,Xq)|Xr=Xq.
% 6.07/6.29 0 [] -s_m(Xp,Xa,Xq)|Xq=s(Xa,Xp).
% 6.07/6.29 0 [] s(Xa,s(Xa,Xp))=Xp.
% 6.07/6.29 0 [] s(Xa,Xp)!=Xr|s(Xa,Xq)!=Xr|Xp=Xq.
% 6.07/6.29 0 [] s(Xa,Xp)!=s(Xa,Xq)|Xp=Xq.
% 6.07/6.29 0 [] s(Xa,Xp)!=Xp|Xp=Xa.
% 6.07/6.29 0 [] s(Xa,Xp)=Xp|Xp!=Xa.
% 6.07/6.29 0 [] s_e(Xp,Xq,s(Xa,Xp),s(Xa,Xq)).
% 6.07/6.29 0 [] -s_t(Xp,Xq,Xr)|s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr)).
% 6.07/6.29 0 [] s_t(Xp,Xq,Xr)| -s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr)).
% 6.07/6.29 0 [] -s_e(Xp,Xq,Xr,Xcs)|s_e(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr),s(Xa,Xcs)).
% 6.07/6.29 0 [] s_e(Xp,Xq,Xr,Xcs)| -s_e(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr),s(Xa,Xcs)).
% 6.07/6.29 0 [] -s_m(Xp,Xa,Xq)| -s_m(Xp,Xb,Xq)|Xa=Xb.
% 6.07/6.29 0 [] s(Xa,Xp)!=s(Xb,Xp)|Xa=Xb.
% 6.07/6.29 0 [] s(Xa,s(Xb,Xp))!=s(Xb,s(Xa,Xp))|Xa=Xb.
% 6.07/6.29 0 [] -s_col(Xa,Xm,Xb)| -s_e(Xm,Xa,Xm,Xb)|Xa=Xb|s_m(Xa,Xm,Xb).
% 6.07/6.29 0 [] s_col(Xa,Xb,Xc)|Xb=Xd| -s_e(Xa,Xb,Xc,Xd)| -s_e(Xb,Xc,Xd,Xa)| -s_col(Xa,Xp,Xc)| -s_col(Xb,Xp,Xd)|s_m(Xa,Xp,Xc).
% 6.07/6.29 0 [] -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)|s_t(Xm1,Xc,Xm2)| -le(Xc,Xa1,Xc,Xa2).
% 6.07/6.29 0 [] -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)|s_t(Xm1,Xc,Xm2).
% 6.07/6.29 0 [] -s_t(Xa1,Xc,Xa2)| -s_t(Xb1,Xc,Xb2)| -s_e(Xc,Xa1,Xc,Xb1)| -s_e(Xc,Xa2,Xc,Xb2)| -s_m(Xa1,Xm1,Xb1)| -s_m(Xa2,Xm2,Xb2)|s_t(Xm1,Xc,Xm2).
% 6.07/6.29 0 [] -s_e(Xc,Xa,Xc,Xb)|s_m(Xa,isomidpoint(Xa,Xb,Xc),Xb).
% 6.07/6.29 0 [] -s_r(Xa,Xb,Xc)|s_r(Xc,Xb,Xa).
% 6.07/6.29 0 [] -s_r(Xa,Xb,Xc)|Xa=Xb| -s_col(Xb,Xa,Xa1)|s_r(Xa1,Xb,Xc).
% 6.07/6.29 0 [] -s_r(Xa,Xb,Xc)|s_r(Xa,Xb,s(Xb,Xc)).
% 6.07/6.29 0 [] s_r(Xa,Xb,Xb).
% 6.07/6.29 0 [] -s_r(Xa,Xb,Xc)| -s_r(Xa1,Xb,Xc)| -s_t(Xa,Xc,Xa1)|Xb=Xc.
% 6.07/6.29 0 [] -s_r(Xa,Xb,Xc)| -s_r(Xa,Xc,Xb)|Xb=Xc.
% 6.07/6.29 0 [] -s_r(Xa,Xb,Xa)|Xa=Xb.
% 6.07/6.29 0 [] -s_r(Xa,Xb,Xc)| -s_col(Xa,Xb,Xc)|Xa=Xb|Xc=Xb.
% 6.07/6.29 0 [] -s_r(Xa,Xb,Xc)| -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)|s_r(Xa1,Xb1,Xc1).
% 6.07/6.29 0 [] -perpAt(Xa,Xb,Xc,Xp,Xq)|perpAt(Xp,Xq,Xc,Xa,Xb).
% 6.07/6.29 0 [] -perp(Xa,Xb,Xp,Xq)|perp(Xp,Xq,Xa,Xb).
% 6.07/6.29 0 [] -perpAt(Xa,Xb,Xc,Xp,Xq)|Xa!=Xb.
% 6.07/6.29 0 [] -perpAt(Xa,Xb,Xc,Xp,Xq)|Xp!=Xq.
% 6.07/6.29 0 [] -perpAt(Xa,Xb,Xc,Xp,Xq)|s_col(Xp,Xq,Xc).
% 6.07/6.29 0 [] -perpAt(Xa,Xb,Xc,Xp,Xq)|s_col(Xa,Xb,Xc).
% 6.07/6.29 0 [] -perpAt(Xa,Xb,Xc,Xp,Xq)|s_col(Xa,Xb,f813(Xa,Xb,Xp,Xq,Xc)).
% 6.07/6.29 0 [] -perpAt(Xa,Xb,Xc,Xp,Xq)|s_col(Xp,Xq,g813(Xa,Xb,Xp,Xq,Xc)).
% 6.07/6.29 0 [] -perpAt(Xa,Xb,Xc,Xp,Xq)|Xc!=f813(Xa,Xb,Xp,Xq,Xc).
% 6.07/6.29 0 [] -perpAt(Xa,Xb,Xc,Xp,Xq)|Xc!=g813(Xa,Xb,Xp,Xq,Xc).
% 6.07/6.29 0 [] -perpAt(Xa,Xb,Xc,Xp,Xq)|s_r(f813(Xa,Xb,Xp,Xq,Xc),Xc,g813(Xa,Xb,Xp,Xq,Xc)).
% 6.07/6.29 0 [] Xa=Xb|Xp=Xq| -s_col(Xp,Xq,Xcx)| -s_col(Xa,Xb,Xcx)| -s_col(Xa,Xb,U)| -s_col(Xp,Xq,V)|Xcx=U|Xcx=V| -s_r(U,Xcx,V)|perpAt(Xa,Xb,Xcx,Xp,Xq).
% 6.07/6.29 0 [] -perp(Xa,Xb,Xp,Xq)| -s_col(Xa,Xb,Xp)| -s_col(Xa,Xb,Xq).
% 6.07/6.29 0 [] -perp(Xa,Xb,Xp,Xq)| -s_col(Xa,Xb,Xc)| -s_col(Xp,Xq,Xc)|perpAt(Xa,Xb,Xc,Xp,Xq).
% 6.07/6.29 0 [] -perpAt(Xa,Xb,Xc,Xp,Xq)|Xc=il(Xa,Xb,Xp,Xq).
% 6.07/6.29 0 [] Xa=Xb| -s_col(Xa,Xb,Xd)| -perp(Xa,Xb,Xc,Xd)|perpAt(Xa,Xb,Xd,Xc,Xd).
% 6.07/6.29 0 [] Xa=Xb| -s_col(Xa,Xb,Xp)| -s_col(Xa,Xb,Xq)|Xq=Xp| -s_col(Xa,Xb,Xc)| -perp(Xa,Xb,Xc,Xp).
% 6.07/6.29 0 [] Xa=Xb| -s_col(Xa,Xb,Xp)| -s_col(Xa,Xb,Xq)|Xq=Xp|s_r(Xc,Xp,Xq)| -perp(Xa,Xb,Xc,Xp).
% 6.07/6.29 0 [] Xa=Xb| -s_col(Xa,Xb,Xp)| -s_col(Xa,Xb,Xq)|Xq=Xp|perp(Xa,Xb,Xc,Xp)|s_col(Xa,Xb,Xc)| -s_r(Xc,Xp,Xq).
% 6.07/6.29 0 [] s_col(Xa,Xb,Xc)| -s_col(Xa,Xb,Xp)| -s_col(Xa,Xb,Xq)| -perp(Xa,Xb,Xc,Xp)| -perp(Xa,Xb,Xc,Xq)|Xp=Xq.
% 6.07/6.29 0 [] s_col(Xa,Xb,Xc)|s_col(Xa,Xb,foot(Xa,Xb,Xc)).
% 6.07/6.29 0 [] s_col(Xa,Xb,Xc)|perp(Xa,Xb,Xc,foot(Xa,Xb,Xc)).
% 6.07/6.29 0 [] -s_r(Xa,Xb,Xc)| -s_m(s(Xa,Xc),Xp,s(Xb,Xc))|s_r(Xb,Xa,Xp).
% 6.07/6.29 0 [] -s_r(Xa,Xb,Xc)| -s_m(s(Xa,Xc),Xp,s(Xb,Xc))|Xb=Xc|Xa!=Xp.
% 6.07/6.29 0 [] -perp(Xa,Xb,Xp,Xq)|perp(Xb,Xa,Xp,Xq).
% 6.07/6.29 0 [] Xa=Xb|Xc=Xd| -s_col(Xa,Xb,Xc)| -s_col(Xa,Xb,Xd)| -s_col(Xc,Xd,Xp)|s_col(Xa,Xb,Xp).
% 6.07/6.29 0 [] Xa=Xb|perp(Xa,Xb,erect21a(Xa,Xb,Xc),Xa)|s_col(Xa,Xb,Xc).
% 6.07/6.29 0 [] Xa=Xb|s_col(Xa,Xb,erectAux21a(Xa,Xb,Xc))|s_col(Xa,Xb,Xc).
% 6.07/6.29 0 [] Xa=Xb|s_t(Xc,erectAux21a(Xa,Xb,Xc),erect21a(Xa,Xb,Xc))|s_col(Xa,Xb,Xc).
% 6.07/6.29 0 [] Xa=Xb|perp(Xa,Xb,erect(Xa,Xb,Xc),Xa).
% 6.07/6.29 0 [] Xa=Xb|s_col(Xa,Xb,erectAux(Xa,Xb,Xc)).
% 6.07/6.29 0 [] Xa=Xb|s_t(Xc,erectAux(Xa,Xb,Xc),erect(Xa,Xb,Xc)).
% 6.07/6.29 0 [] -le(Xa,Xp,Xb,Xq)| -perp(Xa,Xb,Xa,Xp)| -perp(Xa,Xb,Xb,Xq)| -s_t(Xp,Xt,Xq)| -s_col(Xa,Xb,Xt)|s_m(Xa,midpointAux(Xa,Xb,Xp,Xq,Xt),Xb).
% 6.07/6.29 0 [] s_m(Xa,midpoint(Xa,Xb),Xb).
% 6.07/6.29 0 [] -perp(Xp,Xa,Xa,Xb)| -perp(Xq,Xb,Xa,Xb)| -s_col(Xa,Xb,Xt)| -s_t(Xp,Xt,Xq)| -s_t(Xb,Xr,Xq)| -s_e(Xa,Xp,Xb,Xr)|Xcx!=ip(Xp,Xt,Xq,Xb,Xr)|s_m(Xa,Xcx,Xb).
% 6.07/6.29 0 [] -perp(Xp,Xa,Xa,Xb)| -perp(Xq,Xb,Xa,Xb)| -s_col(Xa,Xb,Xt)| -s_t(Xp,Xt,Xq)| -s_t(Xb,Xr,Xq)| -s_e(Xa,Xp,Xb,Xr)|Xcx!=ip(Xp,Xt,Xq,Xb,Xr)|s_m(Xp,Xcx,Xr).
% 6.07/6.29 0 [] -perp(Xp,Xa,Xa,Xb)| -perp(Xq,Xb,Xa,Xb)| -s_col(Xa,Xb,Xt)| -s_t(Xp,Xt,Xq)| -s_t(Xb,Xr,Xq)| -s_e(Xa,Xp,Xb,Xr)|s_m(Xp,midpoint(Xa,Xb),Xr).
% 6.07/6.29 0 [] -s_col(Xa,Xb,Xc)| -s_col(Xa,Xb,Xd)|Xa=Xb|s_col(Xa,Xc,Xd).
% 6.07/6.29 0 [] -s_col(Xa,Xb,Xp)| -s_col(Xa,Xb,Xq)|Xp=Xq|Xa=Xb| -perpAt(Xp,Xq,Xr,Xc,Xd)|perpAt(Xa,Xb,Xr,Xc,Xd).
% 6.07/6.29 0 [] -s_col(Xa,Xb,Xp)| -s_col(Xa,Xb,Xq)|Xp=Xq|Xa=Xb| -perp(Xp,Xq,Xc,Xd)|perp(Xa,Xb,Xc,Xd).
% 6.07/6.29 0 [] Xa=Xb|Xa=Xc|Xb=Xc|Xd=Xc|Xa=Xd| -perp(Xb,Xa,Xa,Xc)| -s_col(Xa,Xc,Xd)|perp(Xb,Xa,Xa,Xd).
% 6.07/6.29 0 [] -perp(Xa,Xb,Xp,Xq)|perp(Xa,Xb,Xq,Xp).
% 6.07/6.29 0 [] -s_col(Xa,Xb,Xp)| -s_col(Xa,Xb,Xq)|Xp=Xq|Xa=Xb|perp(Xp,Xq,Xc,Xd)| -perp(Xa,Xb,Xc,Xd).
% 6.07/6.29 0 [] -s_col(xa,xb,xp)| -s_col(xa,xb,xq)|xp=xq|xa=xb|perp(xc,xd,xp,xq)| -perp(xc,xd,xa,xb).
% 6.07/6.29 0 [] -s_col(Xa,Xb,Xc)|Xa=Xb|Xa=Xc| -samesideline(Xp,Xq,Xa,Xb)|samesideline(Xp,Xq,Xa,Xc).
% 6.07/6.29 0 [] Xa=Xb| -samesideline(Xp,Xq,Xa,Xb)|samesideline(Xp,Xq,Xb,Xa).
% 6.07/6.29 0 [] -opposite(Xa,Xp,Xq,Xb)|opposite(Xb,Xp,Xq,Xa).
% 6.07/6.29 0 [] -opposite(Xa,Xp,Xq,Xc)| -s_col(Xp,Xq,Xm)| -s_m(Xa,Xm,Xc)| -s_col(Xp,Xq,Xr)| -sameside(Xa,Xr,Xb)|opposite(Xb,Xp,Xq,Xc)| -s_t(Xr,Xb,Xa).
% 6.07/6.29 0 [] -opposite(Xa,Xp,Xq,Xc)| -s_col(Xp,Xq,Xm)| -s_m(Xa,Xm,Xc)| -s_col(Xp,Xq,Xr)| -sameside(Xa,Xr,Xb)|opposite(Xb,Xp,Xq,Xc).
% 6.07/6.29 0 [] -sameside(Xa,Xb,Xc)|sameside(s(Xm,Xa),s(Xm,Xb),s(Xm,Xc)).
% 6.07/6.29 0 [] -opposite(Xa,Xp,Xq,Xc)|Xp=Xq| -s_col(Xp,Xq,Xcs)| -s_col(Xp,Xq,Xr)| -perp(Xp,Xq,Xa,Xr)| -perp(Xp,Xq,Xc,Xcs)| -s_m(Xr,Xm,Xcs)| -sameside(U,Xr,Xa)| -le(Xcs,Xc,Xr,Xa)|Xr=Xcs|sameside(s(Xm,U),Xcs,Xc).
% 6.07/6.29 0 [] -opposite(Xa,Xp,Xq,Xc)|Xp=Xq| -s_col(Xp,Xq,Xcs)| -s_col(Xp,Xq,Xr)| -perp(Xp,Xq,Xa,Xr)| -perp(Xp,Xq,Xc,Xcs)| -s_m(Xr,Xm,Xcs)|sameside(U,Xr,Xa)| -le(Xcs,Xc,Xr,Xa)|Xr=Xcs| -sameside(s(Xm,U),Xcs,Xc).
% 6.07/6.29 0 [] -opposite(Xa,Xp,Xq,Xc)|Xp=Xq| -s_col(Xp,Xq,Xcs)| -s_col(Xp,Xq,Xr)| -perp(Xp,Xq,Xa,Xr)| -perp(Xp,Xq,Xc,Xcs)| -s_m(Xr,Xm,Xcs)| -sameside(U,Xr,Xa)|Xr!=Xcs|sameside(s(Xm,U),Xcs,Xc).
% 6.07/6.29 0 [] -opposite(Xa,Xp,Xq,Xc)|Xp=Xq| -s_col(Xp,Xq,Xcs)| -s_col(Xp,Xq,Xr)| -perp(Xp,Xq,Xa,Xr)| -perp(Xp,Xq,Xc,Xcs)| -s_m(Xr,Xm,Xcs)| -sameside(U,Xr,Xa)|sameside(s(Xm,U),Xcs,Xc).
% 6.07/6.29 0 [] -opposite(Xa,Xp,Xq,Xc)|Xp=Xq| -s_col(Xp,Xq,Xcs)| -s_col(Xp,Xq,Xr)| -perp(Xp,Xq,Xa,Xr)| -perp(Xp,Xq,Xc,Xcs)| -s_m(Xr,Xm,Xcs)| -sameside(U,Xr,Xa)| -sameside(V,Xcs,Xc)|opposite(U,Xp,Xq,V).
% 6.07/6.29 0 [] -opposite(Xa,Xp,Xq,Xc)| -s_col(Xp,Xq,Xr)| -sameside(Xa,Xr,Xb)|opposite(Xb,Xp,Xq,Xc).
% 6.07/6.29 0 [] -s_t(Xa,Xc,Xp)| -s_t(Xb,Xq,Xc)|s_t(Xa,op(Xq,Xb,Xp,Xc,Xa),Xb).
% 6.07/6.29 0 [] -s_t(Xa,Xc,Xp)| -s_t(Xb,Xq,Xc)|s_t(Xp,Xq,op(Xq,Xb,Xp,Xc,Xa)).
% 6.07/6.29 0 [] -opposite(Xa,Xp,Xq,Xc)|opposite(Xb,Xp,Xq,Xc)| -samesideline(Xa,Xb,Xp,Xq).
% 6.07/6.29 0 [] -opposite(Xa,Xp,Xq,Xb)| -samesideline(Xa,Xb,Xp,Xq).
% 6.07/6.29 0 [] Xp=Xq| -samesideline(Xa,Xb,Xp,Xq)| -samesideline(Xb,Xc,Xp,Xq)|samesideline(Xa,Xc,Xp,Xq).
% 6.07/6.29 0 [] -samesideline(Xp,Xq,Xa,Xb)|samesideline(Xp,Xq,Xb,Xa).
% 6.07/6.29 0 [] Xa=Xb| -s_m(U,V,W)| -s_col(Xa,Xb,U)| -s_col(Xa,Xb,W)|s_col(Xa,Xb,V).
% 6.07/6.29 0 [] Xd=Xe| -s_t(Xe,Xd,Xd1)| -samesideline(Xa,Xb,Xd1,Xe)|samesideline(Xa,Xb,Xd,Xe).
% 6.07/6.29 0 [] Xa=Xb| -samesideline(Xp,Xq,Xa,Xb)|samesideline(Xq,Xp,Xa,Xb).
% 6.07/6.29 0 [] -opposite(Xa,Xp,Xq,Xb)| -samesideline(Xb,Xc,Xp,Xq)|opposite(Xa,Xp,Xq,Xc).
% 6.07/6.29 0 [] Xp=Xq| -perpAt(Xp,Xq,Xc,Xa,Xc)| -perpAt(Xp,Xq,Xc,Xb,Xc)|Xa=Xc|s_col(Xc,Xa,Xb).
% 6.07/6.29 0 [] Xp=Xq|s_col(Xp,Xq,Xr)|s_col(Xp,Xq,Xcs)|samesideline(Xr,Xcs,Xp,Xq)|opposite(Xr,Xp,Xq,Xcs)|Xp!=foot(Xp,Xq,Xr).
% 6.07/6.29 0 [] Xp=Xq|s_col(Xp,Xq,Xr)|s_col(Xp,Xq,Xcs)|samesideline(Xr,Xcs,Xp,Xq)|opposite(Xr,Xp,Xq,Xcs)|Xp=foot(Xp,Xq,Xr).
% 6.07/6.29 0 [] Xp=Xq|s_col(Xp,Xq,Xr)|s_col(Xp,Xq,Xcs)|samesideline(Xr,Xcs,Xp,Xq)|opposite(Xr,Xp,Xq,Xcs).
% 6.07/6.29 0 [] -samesideline(Xa,Xb,Xp,Xq)| -sameside(Xa,Xq,Xr)|samesideline(Xr,Xb,Xp,Xq).
% 6.07/6.29 0 [] Xc=Xd| -s_col(Xc,Xd,Xp)| -s_col(Xa,Xb,Xp)| -sameside(Xa,Xp,Xb)|s_col(Xc,Xd,Xa)|samesideline(Xa,Xb,Xc,Xd).
% 6.07/6.29 0 [] Xa=Xb|s_col(Xa,Xb,midpoint(Xp,reflect(Xa,Xb,Xp))).
% 6.07/6.29 0 [] Xa=Xb|Xp=reflect(Xa,Xb,Xp)|perp(Xa,Xb,Xp,reflect(Xa,Xb,Xp)).
% 6.07/6.29 0 [] Xa=Xb| -s_col(Xa,Xb,midpoint(Xp,Xp1))| -perp(Xa,Xb,Xp,Xp1)|Xp1=reflect(Xa,Xb,Xp).
% 6.07/6.29 0 [] Xa=Xb| -s_col(Xa,Xb,midpoint(Xp,Xp1))|Xp!=Xp1|Xp1=reflect(Xa,Xb,Xp).
% 6.07/6.29 0 [] Xa=Xb|reflect(Xa,Xb,Xp)!=Xp1|reflect(Xa,Xb,Xp1)=Xp.
% 6.07/6.29 0 [] Xa=Xb|reflect(Xa,Xb,reflect(Xa,Xb,Xp))=Xp.
% 6.07/6.29 0 [] Xa=Xb|reflect(Xa,Xb,Xp)!=Xp1|Xp=reflect(Xa,Xb,Xp1).
% 6.07/6.29 0 [] Xa=Xb|reflect(Xa,Xb,Xp)!=reflect(Xa,Xb,Xq)|Xp=Xq.
% 6.07/6.29 0 [] Xa=Xb|reflect(Xa,Xb,Xp)!=Xp|s_col(Xa,Xb,Xp).
% 6.07/6.29 0 [] Xa=Xb| -s_col(Xa,Xb,Xp)|reflect(Xa,Xb,Xp)=Xp.
% 6.07/6.29 0 [] Xa=Xb| -s_col(Xa,Xb,Xp)|s_e(Xp,Xq,reflect(Xa,Xb,Xp),reflect(Xa,Xb,Xq)).
% 6.07/6.29 0 [] Xa=Xb|s_e(Xp,Xq,reflect(Xa,Xb,Xp),reflect(Xa,Xb,Xq)).
% 6.07/6.29 0 [] s_r($c4,$c3,$c2).
% 6.07/6.29 0 [] s_r($c1,$c3,$c2).
% 6.07/6.29 0 [] s_e($c4,$c3,$c1,$c3).
% 6.07/6.29 0 [] -s_e($c4,$c2,$c1,$c2).
% 6.07/6.29 0 [] insert(Xa,Xb,Xa1,Xc1)=ext(ext(Xc1,Xa1,alpha,gamma),Xa1,Xa,Xb).
% 6.07/6.29 0 [] -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_t(Xa,Xb,Xc).
% 6.07/6.29 0 [] -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_t(Za,Zb,Zc).
% 6.07/6.29 0 [] -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xa,Xb,Za,Zb).
% 6.07/6.29 0 [] -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xb,Xc,Zb,Zc).
% 6.07/6.29 0 [] -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xa,Xd,Za,Zd).
% 6.07/6.29 0 [] -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xb,Xd,Zb,Zd).
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xc)| -s_t(Za,Zb,Zc)| -s_e(Xa,Xb,Za,Zb)| -s_e(Xb,Xc,Zb,Zc)| -s_e(Xa,Xd,Za,Zd)| -s_e(Xb,Xd,Zb,Zd)|s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd).
% 6.07/6.29 0 [] -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_t(Xa,Xb,Xc).
% 6.07/6.29 0 [] -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_t(Za,Zb,Zc).
% 6.07/6.29 0 [] -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xa,Xc,Za,Zc).
% 6.07/6.29 0 [] -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xb,Xc,Zb,Zc).
% 6.07/6.29 0 [] -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xa,Xd,Za,Zd).
% 6.07/6.29 0 [] -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)|s_e(Xc,Xd,Zc,Zd).
% 6.07/6.29 0 [] -s_t(Xa,Xb,Xc)| -s_t(Za,Zb,Zc)| -s_e(Xa,Xc,Za,Zc)| -s_e(Xb,Xc,Zb,Zc)| -s_e(Xa,Xd,Za,Zd)| -s_e(Xc,Xd,Zc,Zd)|s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd).
% 6.07/6.29 0 [] -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)|s_e(Xa1,Xa2,Xb1,Xb2).
% 6.07/6.29 0 [] -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)|s_e(Xa1,Xa3,Xb1,Xb3).
% 6.07/6.29 0 [] -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)|s_e(Xa2,Xa3,Xb2,Xb3).
% 6.07/6.29 0 [] -s_e(Xa1,Xa2,Xb1,Xb2)| -s_e(Xa1,Xa3,Xb1,Xb3)| -s_e(Xa2,Xa3,Xb2,Xb3)|s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3).
% 6.07/6.29 0 [] -s_col(Xa,Xb,Xc)|s_t(Xa,Xb,Xc)|s_t(Xb,Xc,Xa)|s_t(Xc,Xa,Xb).
% 6.07/6.29 0 [] s_col(Xa,Xb,Xc)| -s_t(Xa,Xb,Xc).
% 6.07/6.29 0 [] s_col(Xa,Xb,Xc)| -s_t(Xb,Xc,Xa).
% 6.07/6.29 0 [] s_col(Xa,Xb,Xc)| -s_t(Xc,Xa,Xb).
% 6.07/6.29 0 [] -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|s_col(Xa,Xb,Xc).
% 6.07/6.29 0 [] -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1).
% 6.07/6.29 0 [] -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|s_e(Xa,Xd,Xa1,Xd1).
% 6.07/6.29 0 [] -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)|s_e(Xb,Xd,Xb1,Xd1).
% 6.07/6.29 0 [] -s_col(Xa,Xb,Xc)| -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)| -s_e(Xa,Xd,Xa1,Xd1)| -s_e(Xb,Xd,Xb1,Xd1)|s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1).
% 6.07/6.29 0 [] -le(Xa,Xb,Xc,Xd)|s_t(Xc,insert(Xa,Xb,Xc,Xd),Xd).
% 6.07/6.29 0 [] -le(Xa,Xb,Xc,Xd)|s_e(Xa,Xb,Xc,insert(Xa,Xb,Xc,Xd)).
% 6.07/6.29 0 [] -s_t(Xc,Y,Xd)| -s_e(Xa,Xb,Xc,Y)|le(Xa,Xb,Xc,Xd).
% 6.07/6.29 0 [] -sameside(Xa,Xp,Xb)|Xa!=Xp.
% 6.07/6.29 0 [] -sameside(Xa,Xp,Xb)|Xb!=Xp.
% 6.07/6.29 0 [] -sameside(Xa,Xp,Xb)|s_t(Xp,Xa,Xb)|s_t(Xp,Xb,Xa).
% 6.07/6.29 0 [] -s_t(Xp,Xa,Xb)|Xa=Xp|xb=Xp|sameside(Xa,Xp,Xb).
% 6.07/6.29 0 [] -s_t(Xp,Xb,Xa)|Xa=Xp|Xb=Xp|sameside(Xa,Xp,Xb).
% 6.07/6.29 0 [] -s_m(Xa,Xm,Xb)|s_t(Xa,Xm,Xb).
% 6.07/6.29 0 [] -s_m(Xa,Xm,Xb)|s_e(Xm,Xa,Xm,Xb).
% 6.07/6.29 0 [] -s_t(Xa,Xm,Xb)| -s_e(Xm,Xa,Xm,Xb)|s_m(Xa,Xm,Xb).
% 6.07/6.29 0 [] -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)|s_t(Xa1,Xc,Xa2).
% 6.07/6.29 0 [] -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)|s_t(Xb1,Xc,Xb2).
% 6.07/6.29 0 [] -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)|s_e(Xc,Xa1,Xc,Xb1).
% 6.07/6.29 0 [] -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)|s_e(Xc,Xa2,Xc,Xb2).
% 6.07/6.29 0 [] -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)|s_m(Xa1,Xm1,Xb1).
% 6.07/6.29 0 [] -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)|s_m(Xa2,Xm2,Xb2).
% 6.07/6.29 0 [] -s_t(Xa1,Xc,Xa2)| -s_t(Xb1,Xc,Xb2)| -s_e(Xc,Xa1,Xc,Xb1)| -s_e(Xc,Xa2,Xc,Xb2)| -s_m(Xa1,Xm1,Xb1)| -s_m(Xa2,Xm2,Xb2)|s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2).
% 6.07/6.29 0 [] -s_r(Xa,Xb,Xc)|s_e(Xa,Xc,Xa,s(Xb,Xc)).
% 6.07/6.29 0 [] s_r(Xa,Xb,Xc)| -s_e(Xa,Xc,Xa,s(Xb,Xc)).
% 6.07/6.29 0 [] -perpAt(Y,Z,X,Y1,Z1)|s_col(Y,Z,X).
% 6.07/6.29 0 [] -perpAt(Y,Z,X,Y1,Z1)|s_col(Y1,Z1,X).
% 6.07/6.29 0 [] -perpAt(Y,Z,X,Y1,Z1)|Y!=Z.
% 6.07/6.29 0 [] -perpAt(Y,Z,X,Y1,Z1)|Y1!=Z1.
% 6.07/6.29 0 [] -perpAt(Y,Z,X,Y1,Z1)| -s_col(Y,Z,U)| -s_col(Y1,Z1,V)|s_r(U,X,V).
% 6.07/6.29 0 [] perpAt(Y,Z,X,Y1,Z1)|Y=Z|Y1=Z1| -s_col(Y,Z,X)| -s_col(Y1,Z1,X)|s_col(Y,Z,f811(Y,Z,Y1,Z1,X)).
% 6.07/6.29 0 [] perpAt(Y,Z,X,Y1,Z1)|Y=Z|Y1=Z1| -s_col(Y,Z,X)| -s_col(Y1,Z1,X)|s_col(Y1,Z1,g811(Y,Z,Y1,Z1,X)).
% 6.07/6.29 0 [] perpAt(Y,Z,X,Y1,Z1)|Y=Z|Y1=Z1| -s_col(Y,Z,X)| -s_col(Y1,Z1,X)| -s_r(f811(Y,Z,Y1,Z1,X),X,g811(Y,Z,Y1,Z1,X)).
% 6.07/6.29 0 [] -perp(Xp,Xq,Xp1,Xq1)|perpAt(Xp,Xq,il(Xp,Xq,Xp1,Xq1),Xp1,Xq1).
% 6.07/6.29 0 [] perp(Xp,Xq,Xp1,Xq1)| -perpAt(Xp,Xq,X,Xp1,Xq1).
% 6.07/6.29 0 [] Xp=Xq|s_col(Xp,Xq,Xa)|s_col(Xp,Xq,Xb)| -s_t(Xa,Xt,Xb)| -s_col(Xp,Xq,Xt)|opposite(Xa,Xp,Xq,Xb).
% 6.07/6.29 0 [] -opposite(Xa,Xp,Xq,Xb)| -s_col(Xp,Xq,Xa).
% 6.07/6.29 0 [] -opposite(Xa,Xp,Xq,Xb)| -s_col(Xp,Xq,Xb).
% 6.07/6.29 0 [] -opposite(Xa,Xp,Xq,Xb)|s_t(Xa,il(Xa,Xb,Xp,Xq),Xb).
% 6.07/6.29 0 [] -opposite(Xa,Xp,Xq,Xb)|s_col(Xp,Xq,il(Xa,Xb,Xp,Xq)).
% 6.07/6.29 0 [] -samesideline(Xa,Xb,Xp,Xq)|s_col(Xp,Xq,ss1(Xa,Xb,Xp,Xq)).
% 6.07/6.29 0 [] -samesideline(Xa,Xb,Xp,Xq)|s_col(Xp,Xq,ss2(Xa,Xb,Xp,Xq)).
% 6.07/6.30 0 [] -samesideline(Xa,Xb,Xp,Xq)|s_t(Xa,ss1(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq)).
% 6.07/6.30 0 [] -samesideline(Xa,Xb,Xp,Xq)|s_t(Xb,ss2(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq)).
% 6.07/6.30 0 [] -samesideline(Xa,Xb,Xp,Xq)|Xa!=ss1(Xa,Xb,Xp,Xq).
% 6.07/6.30 0 [] -samesideline(Xa,Xb,Xp,Xq)|Xb!=ss2(Xa,Xb,Xp,Xq).
% 6.07/6.30 0 [] -samesideline(Xa,Xb,Xp,Xq)|ss3(Xa,Xb,Xp,Xq)!=ss1(Xa,Xb,Xp,Xq).
% 6.07/6.30 0 [] -samesideline(Xa,Xb,Xp,Xq)|ss3(Xa,Xb,Xp,Xq)!=ss2(Xa,Xb,Xp,Xq).
% 6.07/6.30 0 [] -samesideline(Xa,Xb,Xp,Xq)|Xp!=Xq.
% 6.07/6.30 0 [] -samesideline(Xa,Xb,Xp,Xq)| -s_col(Xp,Xq,Xa).
% 6.07/6.30 0 [] -samesideline(Xa,Xb,Xp,Xq)| -s_col(Xp,Xq,Xb).
% 6.07/6.30 0 [] -s_t(Xa,Xu,Xc)| -s_t(Xb,Xv,Xc)| -s_col(Xp,Xq,Xu)| -s_col(Xp,Xq,Xv)|Xp=Xq|Xc=Xu|Xc=Xv|Xa=Xu|Xb=Xv|s_col(Xp,Xq,Xa)|s_col(Xp,Xq,Xb)|samesideline(Xa,Xb,Xp,Xq).
% 6.07/6.30 end_of_list.
% 6.07/6.30
% 6.07/6.30 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=12.
% 6.07/6.30
% 6.07/6.30 This ia a non-Horn set with equality. The strategy will be
% 6.07/6.30 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 6.07/6.30 deletion, with positive clauses in sos and nonpositive
% 6.07/6.30 clauses in usable.
% 6.07/6.30
% 6.07/6.30 dependent: set(knuth_bendix).
% 6.07/6.30 dependent: set(anl_eq).
% 6.07/6.30 dependent: set(para_from).
% 6.07/6.30 dependent: set(para_into).
% 6.07/6.30 dependent: clear(para_from_right).
% 6.07/6.30 dependent: clear(para_into_right).
% 6.07/6.30 dependent: set(para_from_vars).
% 6.07/6.30 dependent: set(eq_units_both_ways).
% 6.07/6.30 dependent: set(dynamic_demod_all).
% 6.07/6.30 dependent: set(dynamic_demod).
% 6.07/6.30 dependent: set(order_eq).
% 6.07/6.30 dependent: set(back_demod).
% 6.07/6.30 dependent: set(lrpo).
% 6.07/6.30 dependent: set(hyper_res).
% 6.07/6.30 dependent: set(unit_deletion).
% 6.07/6.30 dependent: set(factor).
% 6.07/6.30
% 6.07/6.30 ------------> process usable:
% 6.07/6.30 ** KEPT (pick-wt=15): 1 [] -s_e(A,B,C,D)| -s_e(A,B,E,F)|s_e(C,D,E,F).
% 6.07/6.30 ** KEPT (pick-wt=8): 2 [] -s_e(A,B,C,C)|A=B.
% 6.07/6.30 ** KEPT (pick-wt=36): 3 [] -s_e(A,B,C,D)| -s_e(B,E,D,F)| -s_e(A,G,C,H)| -s_e(B,G,D,H)| -s_t(A,B,E)| -s_t(C,D,F)|A=B|s_e(E,G,F,H).
% 6.07/6.30 ** KEPT (pick-wt=7): 4 [] -s_t(A,B,A)|A=B.
% 6.07/6.30 ** KEPT (pick-wt=17): 5 [] -s_t(A,B,C)| -s_t(D,E,C)|s_t(B,ip(A,B,C,D,E),D).
% 6.07/6.30 ** KEPT (pick-wt=17): 6 [] -s_t(A,B,C)| -s_t(D,E,C)|s_t(E,ip(A,B,C,D,E),A).
% 6.07/6.30 ** KEPT (pick-wt=4): 7 [] -s_t(alpha,beta,gamma).
% 6.07/6.30 ** KEPT (pick-wt=4): 8 [] -s_t(beta,gamma,alpha).
% 6.07/6.30 ** KEPT (pick-wt=4): 9 [] -s_t(gamma,alpha,beta).
% 6.07/6.30 ** KEPT (pick-wt=10): 10 [] -s_e(A,B,C,D)|s_e(C,D,A,B).
% 6.07/6.30 ** KEPT (pick-wt=15): 11 [] -s_e(A,B,C,D)| -s_e(C,D,E,F)|s_e(A,B,E,F).
% 6.07/6.30 ** KEPT (pick-wt=10): 12 [] -s_e(A,B,C,D)|s_e(B,A,C,D).
% 6.07/6.30 ** KEPT (pick-wt=10): 13 [] -s_e(A,B,C,D)|s_e(A,B,D,C).
% 6.07/6.30 ** KEPT (pick-wt=23): 14 [] -s_t(A,B,C)| -s_t(D,E,F)| -s_e(A,B,D,E)| -s_e(B,C,E,F)|s_e(A,C,D,F).
% 6.07/6.30 ** KEPT (pick-wt=19): 15 [] A=B| -s_t(A,B,C)| -s_e(B,C,D,E)|C=ext(A,B,D,E).
% 6.07/6.30 Following clause subsumed by 2 during input processing: 0 [] -s_e(A,B,C,C)|A=B.
% 6.07/6.30 ** KEPT (pick-wt=10): 16 [] -s_e(A,B,C,D)|s_e(B,A,D,C).
% 6.07/6.30 ** KEPT (pick-wt=23): 17 [] -s_t(A,B,C)| -s_t(D,E,F)| -s_e(A,B,E,F)| -s_e(B,C,D,E)|s_e(A,C,D,F).
% 6.07/6.30 ** KEPT (pick-wt=8): 18 [] -s_t(A,B,C)|s_t(C,B,A).
% 6.07/6.30 ** KEPT (pick-wt=11): 19 [] -s_t(A,B,C)| -s_t(B,A,C)|A=B.
% 6.07/6.30 ** KEPT (pick-wt=12): 20 [] -s_t(A,B,C)| -s_t(B,D,C)|s_t(A,B,D).
% 6.07/6.30 ** KEPT (pick-wt=12): 21 [] -s_t(A,B,C)| -s_t(A,C,D)|s_t(B,C,D).
% 6.07/6.30 ** KEPT (pick-wt=15): 22 [] -s_t(A,B,C)| -s_t(B,C,D)|B=C|s_t(A,C,D).
% 6.07/6.30 ** KEPT (pick-wt=12): 23 [] -s_t(A,B,C)| -s_t(B,D,C)|s_t(A,D,C).
% 6.07/6.30 ** KEPT (pick-wt=12): 24 [] -s_t(A,B,C)| -s_t(A,C,D)|s_t(A,B,D).
% 6.07/6.30 ** KEPT (pick-wt=15): 25 [] -s_t(A,B,C)| -s_t(B,C,D)|B=C|s_t(A,B,D).
% 6.07/6.30 ** KEPT (pick-wt=3): 27 [copy,26,flip.1] beta!=alpha.
% 6.07/6.30 ** KEPT (pick-wt=3): 29 [copy,28,flip.1] gamma!=beta.
% 6.07/6.30 ** KEPT (pick-wt=3): 31 [copy,30,flip.1] gamma!=alpha.
% 6.07/6.30 ** KEPT (pick-wt=7): 33 [copy,32,flip.1] ext(A,B,alpha,gamma)!=B.
% 6.07/6.30 ** KEPT (pick-wt=22): 34 [] -s_t(A,B,C)| -s_t(D,E,C)| -s_t(A,F,D)|s_t(F,crossbar(A,B,C,D,E,F),C).
% 6.07/6.30 ** KEPT (pick-wt=22): 35 [] -s_t(A,B,C)| -s_t(D,E,C)| -s_t(A,F,D)|s_t(B,crossbar(A,B,C,D,E,F),E).
% 6.07/6.30 ** KEPT (pick-wt=14): 36 [] -s_ifs(A,B,C,D,E,F,G,H)|s_e(B,D,F,H).
% 6.07/6.30 ** KEPT (pick-wt=23): 37 [] -s_t(A,B,C)| -s_t(D,E,F)| -s_e(A,C,D,F)| -s_e(B,C,E,F)|s_e(A,B,D,E).
% 6.07/6.30 ** KEPT (pick-wt=17): 38 [] -s_t(A,B,C)| -s_e(A,C,D,E)|s_t(D,insert(A,B,D,E),E).
% 6.07/6.30 ** KEPT (pick-wt=20): 39 [] -s_t(A,B,C)| -s_e(A,C,D,E)|s_e3(A,B,C,D,insert(A,B,D,E),E).
% 6.07/6.30 ** KEPT (pick-wt=15): 40 [] -s_t(A,B,C)| -s_e3(A,B,C,D,E,F)|s_t(D,E,F).
% 6.07/6.30 ** KEPT (pick-wt=8): 41 [] -s_col(A,B,C)|s_col(B,C,A).
% 6.07/6.30 ** KEPT (pick-wt=8): 42 [] -s_col(A,B,C)|s_col(C,A,B).
% 6.07/6.30 ** KEPT (pick-wt=8): 43 [] -s_col(A,B,C)|s_col(C,B,A).
% 6.07/6.30 ** KEPT (pick-wt=8): 44 [] -s_col(A,B,C)|s_col(B,A,C).
% 6.07/6.30 ** KEPT (pick-wt=8): 45 [] -s_col(A,B,C)|s_col(A,C,B).
% 6.07/6.30 ** KEPT (pick-wt=15): 46 [] -s_col(A,B,C)| -s_e3(A,B,C,D,E,F)|s_col(D,E,F).
% 6.07/6.30 ** KEPT (pick-wt=21): 47 [] -s_col(A,B,C)| -s_e(A,B,D,E)|s_e3(A,B,C,D,E,insert5(A,B,C,D,E)).
% 6.07/6.30 ** KEPT (pick-wt=17): 48 [] -s_fs(A,B,C,D,E,F,G,H)|A=B|s_e(C,D,G,H).
% 6.07/6.30 ** KEPT (pick-wt=22): 49 [] A=B| -s_col(A,B,C)| -s_e(A,D,A,E)| -s_e(B,D,B,E)|s_e(C,D,C,E).
% 6.07/6.30 ** KEPT (pick-wt=20): 50 [] A=B| -s_col(A,B,C)| -s_e(A,C,A,D)| -s_e(B,C,B,D)|C=D.
% 6.07/6.30 ** KEPT (pick-wt=17): 51 [] -s_t(A,B,C)| -s_e(A,B,A,D)| -s_e(C,B,C,D)|B=D.
% 6.07/6.30 ** KEPT (pick-wt=19): 52 [] A=B| -s_t(A,B,C)| -s_t(A,B,D)|s_t(A,C,D)|s_t(A,D,C).
% 6.07/6.30 ** KEPT (pick-wt=19): 53 [] A=B| -s_t(A,B,C)| -s_t(A,B,D)|s_t(B,C,D)|s_t(B,D,C).
% 6.07/6.30 ** KEPT (pick-wt=16): 54 [] -s_t(A,B,C)| -s_t(A,D,C)|s_t(A,B,D)|s_t(A,D,B).
% 6.07/6.30 ** KEPT (pick-wt=13): 55 [] -le(A,B,C,D)|s_t(A,B,ins(C,D,A,B)).
% 6.07/6.30 ** KEPT (pick-wt=14): 56 [] -le(A,B,C,D)|s_e(A,ins(C,D,A,B),C,D).
% 6.07/6.30 ** KEPT (pick-wt=20): 58 [copy,57,flip.2] -le(A,B,C,D)|ext(A,B,insert(A,B,C,D),D)=ins(C,D,A,B).
% 6.07/6.30 ** KEPT (pick-wt=14): 59 [] le(A,B,C,D)| -s_t(A,B,E)| -s_e(A,E,C,D).
% 6.07/6.30 ** KEPT (pick-wt=20): 60 [] -le(A,B,C,D)| -s_e(A,B,E,F)| -s_e(C,D,G,H)|le(E,F,G,H).
% 6.07/6.30 ** KEPT (pick-wt=15): 61 [] -le(A,B,C,D)| -le(C,D,E,F)|le(A,B,E,F).
% 6.07/6.30 ** KEPT (pick-wt=15): 62 [] -le(A,B,C,D)| -le(C,D,A,B)|s_e(A,B,C,D).
% 6.07/6.30 ** KEPT (pick-wt=13): 63 [] -s_col(A,B,C)| -s_t(A,B,C)|le(A,B,A,C).
% 6.07/6.30 ** KEPT (pick-wt=13): 64 [] -s_col(A,B,C)| -s_t(A,B,C)|le(B,C,A,C).
% 6.07/6.30 ** KEPT (pick-wt=12): 65 [] -s_t(A,B,C)| -s_e(A,C,A,B)|C=B.
% 6.07/6.30 ** KEPT (pick-wt=18): 66 [] -s_col(A,B,C)|s_t(A,B,C)| -le(A,B,A,C)| -le(B,C,A,C).
% 6.07/6.30 ** KEPT (pick-wt=21): 67 [] A=B|C=B|D=B| -s_t(A,B,D)| -s_t(C,B,D)|sameside(A,B,C).
% 6.07/6.30 ** KEPT (pick-wt=21): 68 [] A=B|C=B|D=B| -s_t(A,B,D)|s_t(C,B,D)| -sameside(A,B,C).
% 6.07/6.30 ** KEPT (pick-wt=7): 69 [] -sameside(A,B,C)|A!=B.
% 6.07/6.30 ** KEPT (pick-wt=7): 70 [] -sameside(A,B,C)|C!=B.
% 6.07/6.30 ** KEPT (pick-wt=10): 71 [] -sameside(A,B,C)|c63(A,B,C)!=B.
% 6.07/6.30 ** KEPT (pick-wt=11): 72 [] -sameside(A,B,C)|s_t(A,B,c63(A,B,C)).
% 6.07/6.30 ** KEPT (pick-wt=11): 73 [] -sameside(A,B,C)|s_t(C,B,c63(A,B,C)).
% 6.07/6.30 Following clause subsumed by 67 during input processing: 0 [] sameside(A,B,C)|A=B|C=B|D=B| -s_t(A,B,D)| -s_t(C,B,D).
% 6.07/6.30 ** KEPT (pick-wt=8): 74 [] -sameside(A,B,C)|s_col(A,B,C).
% 6.07/6.30 ** KEPT (pick-wt=8): 75 [] -sameside(A,B,C)| -s_t(A,B,C).
% 6.07/6.30 ** KEPT (pick-wt=12): 76 [] sameside(A,B,C)| -s_col(A,B,C)|s_t(A,B,C).
% 6.07/6.30 ** KEPT (pick-wt=8): 77 [] -sameside(A,B,C)|sameside(C,B,A).
% 6.07/6.30 ** KEPT (pick-wt=12): 78 [] -sameside(A,B,C)| -sameside(C,B,D)|sameside(A,B,D).
% 6.07/6.30 ** KEPT (pick-wt=27): 79 [] A=B|C=D| -sameside(E,B,A)| -s_e(B,E,C,D)| -sameside(F,B,A)| -s_e(B,F,C,D)|E=F.
% 6.07/6.30 ** KEPT (pick-wt=13): 80 [] -sameside(A,B,C)| -le(B,A,B,C)|s_t(B,A,C).
% 6.07/6.30 ** KEPT (pick-wt=13): 81 [] -sameside(A,B,C)|le(B,A,B,C)| -s_t(B,A,C).
% 6.07/6.30 ** KEPT (pick-wt=25): 82 [] A=B|A=C| -s_t(B,A,C)| -s_col(D,A,B)|D=A|sameside(D,A,B)|sameside(D,A,C).
% 6.07/6.30 Following clause subsumed by 74 during input processing: 0 [] A=B|A=C| -s_t(B,A,C)| -sameside(D,A,B)|s_col(D,A,B).
% 6.07/6.30 ** KEPT (pick-wt=18): 83 [] A=B|A=C| -s_t(B,A,C)| -sameside(D,A,C)|s_col(D,A,B).
% 6.07/6.30 ** KEPT (pick-wt=17): 84 [] A=B|A=C| -s_t(B,A,C)|D!=A|s_col(D,A,B).
% 6.07/6.30 ** KEPT (pick-wt=19): 85 [] A=B| -s_t(C,A,B)| -s_t(D,A,B)|s_t(D,C,B)|s_t(C,D,B).
% 6.07/6.30 ** KEPT (pick-wt=18): 86 [] A=B|C=A| -s_col(A,B,C)| -s_col(A,B,D)|s_col(A,C,D).
% 6.07/6.30 Following clause subsumed by 44 during input processing: 0 [] A=B| -s_col(A,B,C)|s_col(B,A,C).
% 6.07/6.30 ** KEPT (pick-wt=22): 87 [] A=B|C=D| -s_col(C,D,A)| -s_col(C,D,B)| -s_col(C,D,E)|s_col(A,B,E).
% 6.07/6.30 ** KEPT (pick-wt=33): 88 [] A=B|C=D| -s_col(A,B,E)| -s_col(C,D,E)| -s_col(A,B,F)| -s_col(C,D,F)|E=F| -s_col(A,B,G)|s_col(C,D,G).
% 6.07/6.30 ** KEPT (pick-wt=9): 89 [] A=B| -s_col(A,B,pointOffLine(A,B)).
% 6.07/6.30 ** KEPT (pick-wt=23): 90 [] -sameside(A,B,C)| -sameside(D,E,F)| -s_e(B,A,E,D)| -s_e(B,C,E,F)|s_e(A,C,D,F).
% 6.07/6.30 ** KEPT (pick-wt=8): 91 [] -s_m(A,B,C)|s_m(C,B,A).
% 6.07/6.30 ** KEPT (pick-wt=7): 92 [] -s_m(A,B,A)|B=A.
% 6.07/6.30 ** KEPT (pick-wt=7): 93 [] s_m(A,B,A)|B!=A.
% 6.07/6.30 ** KEPT (pick-wt=11): 94 [] -s_m(A,B,C)| -s_m(A,B,D)|C=D.
% 6.07/6.30 ** KEPT (pick-wt=9): 95 [] -s_m(A,B,C)|C=s(B,A).
% 6.07/6.30 ** KEPT (pick-wt=13): 96 [] s(A,B)!=C|s(A,D)!=C|B=D.
% 6.07/6.30 ** KEPT (pick-wt=10): 97 [] s(A,B)!=s(A,C)|B=C.
% 6.07/6.30 ** KEPT (pick-wt=8): 98 [] s(A,B)!=B|B=A.
% 6.07/6.30 ** KEPT (pick-wt=8): 99 [] s(A,B)=B|B!=A.
% 6.07/6.30 ** KEPT (pick-wt=14): 100 [] -s_t(A,B,C)|s_t(s(D,A),s(D,B),s(D,C)).
% 6.07/6.30 ** KEPT (pick-wt=14): 101 [] s_t(A,B,C)| -s_t(s(D,A),s(D,B),s(D,C)).
% 6.07/6.30 ** KEPT (pick-wt=18): 102 [] -s_e(A,B,C,D)|s_e(s(E,A),s(E,B),s(E,C),s(E,D)).
% 6.07/6.30 ** KEPT (pick-wt=18): 103 [] s_e(A,B,C,D)| -s_e(s(E,A),s(E,B),s(E,C),s(E,D)).
% 6.07/6.30 ** KEPT (pick-wt=11): 104 [] -s_m(A,B,C)| -s_m(A,D,C)|B=D.
% 6.07/6.30 ** KEPT (pick-wt=10): 105 [] s(A,B)!=s(C,B)|A=C.
% 6.07/6.30 ** KEPT (pick-wt=14): 106 [] s(A,s(B,C))!=s(B,s(A,C))|A=B.
% 6.07/6.30 ** KEPT (pick-wt=16): 107 [] -s_col(A,B,C)| -s_e(B,A,B,C)|A=C|s_m(A,B,C).
% 6.07/6.30 ** KEPT (pick-wt=29): 108 [] s_col(A,B,C)|B=D| -s_e(A,B,C,D)| -s_e(B,C,D,A)| -s_col(A,E,C)| -s_col(B,E,D)|s_m(A,E,C).
% 6.07/6.30 ** KEPT (pick-wt=17): 109 [] -s_kf(A,B,C,D,E,F,G)|s_t(B,D,F)| -le(D,A,D,G).
% 6.07/6.30 ** KEPT (pick-wt=12): 110 [] -s_kf(A,B,C,D,E,F,G)|s_t(B,D,F).
% 6.07/6.30 ** KEPT (pick-wt=30): 111 [] -s_t(A,B,C)| -s_t(D,B,E)| -s_e(B,A,B,D)| -s_e(B,C,B,E)| -s_m(A,F,D)| -s_m(C,G,E)|s_t(F,B,G).
% 6.07/6.30 ** KEPT (pick-wt=12): 112 [] -s_e(A,B,A,C)|s_m(B,isomidpoint(B,C,A),C).
% 6.07/6.30 ** KEPT (pick-wt=8): 113 [] -s_r(A,B,C)|s_r(C,B,A).
% 6.07/6.30 ** KEPT (pick-wt=15): 114 [] -s_r(A,B,C)|A=B| -s_col(B,A,D)|s_r(D,B,C).
% 6.07/6.30 ** KEPT (pick-wt=10): 115 [] -s_r(A,B,C)|s_r(A,B,s(B,C)).
% 6.07/6.30 ** KEPT (pick-wt=15): 116 [] -s_r(A,B,C)| -s_r(D,B,C)| -s_t(A,C,D)|B=C.
% 6.07/6.30 ** KEPT (pick-wt=11): 117 [] -s_r(A,B,C)| -s_r(A,C,B)|B=C.
% 6.07/6.30 ** KEPT (pick-wt=7): 118 [] -s_r(A,B,A)|A=B.
% 6.07/6.30 ** KEPT (pick-wt=14): 119 [] -s_r(A,B,C)| -s_col(A,B,C)|A=B|C=B.
% 6.07/6.30 ** KEPT (pick-wt=15): 120 [] -s_r(A,B,C)| -s_e3(A,B,C,D,E,F)|s_r(D,E,F).
% 6.07/6.30 ** KEPT (pick-wt=12): 121 [] -perpAt(A,B,C,D,E)|perpAt(D,E,C,A,B).
% 6.07/6.30 ** KEPT (pick-wt=10): 122 [] -perp(A,B,C,D)|perp(C,D,A,B).
% 6.07/6.30 ** KEPT (pick-wt=9): 123 [] -perpAt(A,B,C,D,E)|A!=B.
% 6.07/6.30 ** KEPT (pick-wt=9): 124 [] -perpAt(A,B,C,D,E)|D!=E.
% 6.07/6.30 ** KEPT (pick-wt=10): 125 [] -perpAt(A,B,C,D,E)|s_col(D,E,C).
% 6.07/6.30 ** KEPT (pick-wt=10): 126 [] -perpAt(A,B,C,D,E)|s_col(A,B,C).
% 6.07/6.30 ** KEPT (pick-wt=15): 127 [] -perpAt(A,B,C,D,E)|s_col(A,B,f813(A,B,D,E,C)).
% 6.07/6.30 ** KEPT (pick-wt=15): 128 [] -perpAt(A,B,C,D,E)|s_col(D,E,g813(A,B,D,E,C)).
% 6.07/6.30 ** KEPT (pick-wt=14): 130 [copy,129,flip.2] -perpAt(A,B,C,D,E)|f813(A,B,D,E,C)!=C.
% 6.07/6.30 ** KEPT (pick-wt=14): 132 [copy,131,flip.2] -perpAt(A,B,C,D,E)|g813(A,B,D,E,C)!=C.
% 6.07/6.30 ** KEPT (pick-wt=20): 133 [] -perpAt(A,B,C,D,E)|s_r(f813(A,B,D,E,C),C,g813(A,B,D,E,C)).
% 6.07/6.30 ** KEPT (pick-wt=38): 134 [] A=B|C=D| -s_col(C,D,E)| -s_col(A,B,E)| -s_col(A,B,F)| -s_col(C,D,G)|E=F|E=G| -s_r(F,E,G)|perpAt(A,B,E,C,D).
% 6.07/6.30 ** KEPT (pick-wt=13): 135 [] -perp(A,B,C,D)| -s_col(A,B,C)| -s_col(A,B,D).
% 6.07/6.30 ** KEPT (pick-wt=19): 136 [] -perp(A,B,C,D)| -s_col(A,B,E)| -s_col(C,D,E)|perpAt(A,B,E,C,D).
% 6.07/6.30 ** KEPT (pick-wt=13): 137 [] -perpAt(A,B,C,D,E)|C=il(A,B,D,E).
% 6.07/6.30 ** KEPT (pick-wt=18): 138 [] A=B| -s_col(A,B,C)| -perp(A,B,D,C)|perpAt(A,B,C,D,C).
% 6.07/6.30 Following clause subsumed by 135 during input processing: 0 [] A=B| -s_col(A,B,C)| -s_col(A,B,D)|D=C| -s_col(A,B,E)| -perp(A,B,E,C).
% 6.07/6.30 ** KEPT (pick-wt=23): 139 [] A=B| -s_col(A,B,C)| -s_col(A,B,D)|D=C|s_r(E,C,D)| -perp(A,B,E,C).
% 6.07/6.30 ** KEPT (pick-wt=27): 140 [] A=B| -s_col(A,B,C)| -s_col(A,B,D)|D=C|perp(A,B,E,C)|s_col(A,B,E)| -s_r(E,C,D).
% 6.07/6.30 ** KEPT (pick-wt=25): 141 [] s_col(A,B,C)| -s_col(A,B,D)| -s_col(A,B,E)| -perp(A,B,C,D)| -perp(A,B,C,E)|D=E.
% 6.07/6.30 ** KEPT (pick-wt=16): 142 [] -s_r(A,B,C)| -s_m(s(A,C),D,s(B,C))|s_r(B,A,D).
% 6.07/6.30 ** KEPT (pick-wt=18): 143 [] -s_r(A,B,C)| -s_m(s(A,C),D,s(B,C))|B=C|A!=D.
% 6.07/6.30 ** KEPT (pick-wt=10): 144 [] -perp(A,B,C,D)|perp(B,A,C,D).
% 6.07/6.30 ** KEPT (pick-wt=22): 145 [] A=B|C=D| -s_col(A,B,C)| -s_col(A,B,D)| -s_col(C,D,E)|s_col(A,B,E).
% 6.07/6.30 ** KEPT (pick-wt=32): 146 [] -le(A,B,C,D)| -perp(A,C,A,B)| -perp(A,C,C,D)| -s_t(B,E,D)| -s_col(A,C,E)|s_m(A,midpointAux(A,C,B,D,E),C).
% 6.07/6.30 ** KEPT (pick-wt=39): 147 [] -perp(A,B,B,C)| -perp(D,C,B,C)| -s_col(B,C,E)| -s_t(A,E,D)| -s_t(C,F,D)| -s_e(B,A,C,F)|G!=ip(A,E,D,C,F)|s_m(B,G,C).
% 6.07/6.30 ** KEPT (pick-wt=39): 148 [] -perp(A,B,B,C)| -perp(D,C,B,C)| -s_col(B,C,E)| -s_t(A,E,D)| -s_t(C,F,D)| -s_e(B,A,C,F)|G!=ip(A,E,D,C,F)|s_m(A,G,F).
% 6.07/6.31 ** KEPT (pick-wt=33): 149 [] -perp(A,B,B,C)| -perp(D,C,B,C)| -s_col(B,C,E)| -s_t(A,E,D)| -s_t(C,F,D)| -s_e(B,A,C,F)|s_m(A,midpoint(B,C),F).
% 6.07/6.31 ** KEPT (pick-wt=15): 150 [] -s_col(A,B,C)| -s_col(A,B,D)|A=B|s_col(A,C,D).
% 6.07/6.31 ** KEPT (pick-wt=26): 151 [] -s_col(A,B,C)| -s_col(A,B,D)|C=D|A=B| -perpAt(C,D,E,F,G)|perpAt(A,B,E,F,G).
% 6.07/6.31 ** KEPT (pick-wt=24): 152 [] -s_col(A,B,C)| -s_col(A,B,D)|C=D|A=B| -perp(C,D,E,F)|perp(A,B,E,F).
% 6.07/6.31 ** KEPT (pick-wt=29): 153 [] A=B|A=C|B=C|D=C|A=D| -perp(B,A,A,C)| -s_col(A,C,D)|perp(B,A,A,D).
% 6.07/6.31 ** KEPT (pick-wt=10): 154 [] -perp(A,B,C,D)|perp(A,B,D,C).
% 6.07/6.31 ** KEPT (pick-wt=24): 155 [] -s_col(A,B,C)| -s_col(A,B,D)|C=D|A=B|perp(C,D,E,F)| -perp(A,B,E,F).
% 6.07/6.31 ** KEPT (pick-wt=24): 157 [copy,156,flip.3,flip.4] -s_col(xa,xb,xp)| -s_col(xa,xb,xq)|xq=xp|xb=xa|perp(xc,xd,xp,xq)| -perp(xc,xd,xa,xb).
% 6.07/6.31 ** KEPT (pick-wt=20): 158 [] -s_col(A,B,C)|A=B|A=C| -samesideline(D,E,A,B)|samesideline(D,E,A,C).
% 6.07/6.31 ** KEPT (pick-wt=13): 159 [] A=B| -samesideline(C,D,A,B)|samesideline(C,D,B,A).
% 6.07/6.31 ** KEPT (pick-wt=10): 160 [] -opposite(A,B,C,D)|opposite(D,B,C,A).
% 6.07/6.31 ** KEPT (pick-wt=30): 161 [] -opposite(A,B,C,D)| -s_col(B,C,E)| -s_m(A,E,D)| -s_col(B,C,F)| -sameside(A,F,G)|opposite(G,B,C,D)| -s_t(F,G,A).
% 6.07/6.31 ** KEPT (pick-wt=26): 162 [] -opposite(A,B,C,D)| -s_col(B,C,E)| -s_m(A,E,D)| -s_col(B,C,F)| -sameside(A,F,G)|opposite(G,B,C,D).
% 6.07/6.31 ** KEPT (pick-wt=14): 163 [] -sameside(A,B,C)|sameside(s(D,A),s(D,B),s(D,C)).
% 6.07/6.31 ** KEPT (pick-wt=48): 164 [] -opposite(A,B,C,D)|B=C| -s_col(B,C,E)| -s_col(B,C,F)| -perp(B,C,A,F)| -perp(B,C,D,E)| -s_m(F,G,E)| -sameside(H,F,A)| -le(E,D,F,A)|F=E|sameside(s(G,H),E,D).
% 6.07/6.31 ** KEPT (pick-wt=48): 165 [] -opposite(A,B,C,D)|B=C| -s_col(B,C,E)| -s_col(B,C,F)| -perp(B,C,A,F)| -perp(B,C,D,E)| -s_m(F,G,E)|sameside(H,F,A)| -le(E,D,F,A)|F=E| -sameside(s(G,H),E,D).
% 6.07/6.31 ** KEPT (pick-wt=43): 166 [] -opposite(A,B,C,D)|B=C| -s_col(B,C,E)| -s_col(B,C,F)| -perp(B,C,A,F)| -perp(B,C,D,E)| -s_m(F,G,E)| -sameside(H,F,A)|F!=E|sameside(s(G,H),E,D).
% 6.07/6.31 ** KEPT (pick-wt=40): 167 [] -opposite(A,B,C,D)|B=C| -s_col(B,C,E)| -s_col(B,C,F)| -perp(B,C,A,F)| -perp(B,C,D,E)| -s_m(F,G,E)| -sameside(H,F,A)|sameside(s(G,H),E,D).
% 6.07/6.31 ** KEPT (pick-wt=43): 168 [] -opposite(A,B,C,D)|B=C| -s_col(B,C,E)| -s_col(B,C,F)| -perp(B,C,A,F)| -perp(B,C,D,E)| -s_m(F,G,E)| -sameside(H,F,A)| -sameside(I,E,D)|opposite(H,B,C,I).
% 6.07/6.31 ** KEPT (pick-wt=18): 169 [] -opposite(A,B,C,D)| -s_col(B,C,E)| -sameside(A,E,F)|opposite(F,B,C,D).
% 6.07/6.31 ** KEPT (pick-wt=17): 170 [] -s_t(A,B,C)| -s_t(D,E,B)|s_t(A,op(E,D,C,B,A),D).
% 6.07/6.31 ** KEPT (pick-wt=17): 171 [] -s_t(A,B,C)| -s_t(D,E,B)|s_t(C,E,op(E,D,C,B,A)).
% 6.07/6.31 ** KEPT (pick-wt=15): 172 [] -opposite(A,B,C,D)|opposite(E,B,C,D)| -samesideline(A,E,B,C).
% 6.07/6.31 ** KEPT (pick-wt=10): 173 [] -opposite(A,B,C,D)| -samesideline(A,D,B,C).
% 6.07/6.31 ** KEPT (pick-wt=18): 174 [] A=B| -samesideline(C,D,A,B)| -samesideline(D,E,A,B)|samesideline(C,E,A,B).
% 6.07/6.31 ** KEPT (pick-wt=10): 175 [] -samesideline(A,B,C,D)|samesideline(A,B,D,C).
% 6.07/6.31 ** KEPT (pick-wt=19): 176 [] A=B| -s_m(C,D,E)| -s_col(A,B,C)| -s_col(A,B,E)|s_col(A,B,D).
% 6.07/6.31 ** KEPT (pick-wt=17): 177 [] A=B| -s_t(B,A,C)| -samesideline(D,E,C,B)|samesideline(D,E,A,B).
% 6.07/6.31 ** KEPT (pick-wt=13): 178 [] A=B| -samesideline(C,D,A,B)|samesideline(D,C,A,B).
% 6.07/6.31 ** KEPT (pick-wt=15): 179 [] -opposite(A,B,C,D)| -samesideline(D,E,B,C)|opposite(A,B,C,E).
% 6.07/6.31 ** KEPT (pick-wt=22): 180 [] A=B| -perpAt(A,B,C,D,C)| -perpAt(A,B,C,E,C)|D=C|s_col(C,D,E).
% 6.07/6.31 ** KEPT (pick-wt=27): 182 [copy,181,flip.6] A=B|s_col(A,B,C)|s_col(A,B,D)|samesideline(C,D,A,B)|opposite(C,A,B,D)|foot(A,B,C)!=A.
% 6.07/6.31 ** KEPT (pick-wt=14): 183 [] -samesideline(A,B,C,D)| -sameside(A,D,E)|samesideline(E,B,C,D).
% 6.07/6.31 ** KEPT (pick-wt=24): 184 [] A=B| -s_col(A,B,C)| -s_col(D,E,C)| -sameside(D,C,E)|s_col(A,B,D)|samesideline(D,E,A,B).
% 6.07/6.31 ** KEPT (pick-wt=20): 185 [] A=B| -s_col(A,B,midpoint(C,D))| -perp(A,B,C,D)|D=reflect(A,B,C).
% 6.07/6.31 ** KEPT (pick-wt=18): 186 [] A=B| -s_col(A,B,midpoint(C,D))|C!=D|D=reflect(A,B,C).
% 6.07/6.31 ** KEPT (pick-wt=15): 187 [] A=B|reflect(A,B,C)!=D|reflect(A,B,D)=C.
% 6.07/6.31 ** KEPT (pick-wt=15): 188 [] A=B|reflect(A,B,C)!=D|C=reflect(A,B,D).
% 6.25/6.41 ** KEPT (pick-wt=15): 189 [] A=B|reflect(A,B,C)!=reflect(A,B,D)|C=D.
% 6.25/6.41 ** KEPT (pick-wt=13): 190 [] A=B|reflect(A,B,C)!=C|s_col(A,B,C).
% 6.25/6.41 ** KEPT (pick-wt=13): 191 [] A=B| -s_col(A,B,C)|reflect(A,B,C)=C.
% 6.25/6.41 ** KEPT (pick-wt=18): 192 [] A=B| -s_col(A,B,C)|s_e(C,D,reflect(A,B,C),reflect(A,B,D)).
% 6.25/6.41 ** KEPT (pick-wt=5): 193 [] -s_e($c4,$c2,$c1,$c2).
% 6.25/6.41 ** KEPT (pick-wt=13): 194 [] -s_afs(A,B,C,D,E,F,G,H)|s_t(A,B,C).
% 6.25/6.41 ** KEPT (pick-wt=13): 195 [] -s_afs(A,B,C,D,E,F,G,H)|s_t(E,F,G).
% 6.25/6.41 ** KEPT (pick-wt=14): 196 [] -s_afs(A,B,C,D,E,F,G,H)|s_e(A,B,E,F).
% 6.25/6.41 ** KEPT (pick-wt=14): 197 [] -s_afs(A,B,C,D,E,F,G,H)|s_e(B,C,F,G).
% 6.25/6.41 ** KEPT (pick-wt=14): 198 [] -s_afs(A,B,C,D,E,F,G,H)|s_e(A,D,E,H).
% 6.25/6.41 ** KEPT (pick-wt=14): 199 [] -s_afs(A,B,C,D,E,F,G,H)|s_e(B,D,F,H).
% 6.25/6.41 ** KEPT (pick-wt=37): 200 [] -s_t(A,B,C)| -s_t(D,E,F)| -s_e(A,B,D,E)| -s_e(B,C,E,F)| -s_e(A,G,D,H)| -s_e(B,G,E,H)|s_afs(A,B,C,G,D,E,F,H).
% 6.25/6.41 ** KEPT (pick-wt=13): 201 [] -s_ifs(A,B,C,D,E,F,G,H)|s_t(A,B,C).
% 6.25/6.41 ** KEPT (pick-wt=13): 202 [] -s_ifs(A,B,C,D,E,F,G,H)|s_t(E,F,G).
% 6.25/6.41 ** KEPT (pick-wt=14): 203 [] -s_ifs(A,B,C,D,E,F,G,H)|s_e(A,C,E,G).
% 6.25/6.41 ** KEPT (pick-wt=14): 204 [] -s_ifs(A,B,C,D,E,F,G,H)|s_e(B,C,F,G).
% 6.25/6.41 ** KEPT (pick-wt=14): 205 [] -s_ifs(A,B,C,D,E,F,G,H)|s_e(A,D,E,H).
% 6.25/6.41 ** KEPT (pick-wt=14): 206 [] -s_ifs(A,B,C,D,E,F,G,H)|s_e(C,D,G,H).
% 6.25/6.41 ** KEPT (pick-wt=37): 207 [] -s_t(A,B,C)| -s_t(D,E,F)| -s_e(A,C,D,F)| -s_e(B,C,E,F)| -s_e(A,G,D,H)| -s_e(C,G,F,H)|s_ifs(A,B,C,G,D,E,F,H).
% 6.25/6.41 ** KEPT (pick-wt=12): 208 [] -s_e3(A,B,C,D,E,F)|s_e(A,B,D,E).
% 6.25/6.41 ** KEPT (pick-wt=12): 209 [] -s_e3(A,B,C,D,E,F)|s_e(A,C,D,F).
% 6.25/6.41 ** KEPT (pick-wt=12): 210 [] -s_e3(A,B,C,D,E,F)|s_e(B,C,E,F).
% 6.25/6.41 ** KEPT (pick-wt=22): 211 [] -s_e(A,B,C,D)| -s_e(A,E,C,F)| -s_e(B,E,D,F)|s_e3(A,B,E,C,D,F).
% 6.25/6.41 ** KEPT (pick-wt=16): 212 [] -s_col(A,B,C)|s_t(A,B,C)|s_t(B,C,A)|s_t(C,A,B).
% 6.25/6.41 ** KEPT (pick-wt=8): 213 [] s_col(A,B,C)| -s_t(A,B,C).
% 6.25/6.41 ** KEPT (pick-wt=8): 214 [] s_col(A,B,C)| -s_t(B,C,A).
% 6.25/6.41 ** KEPT (pick-wt=8): 215 [] s_col(A,B,C)| -s_t(C,A,B).
% 6.25/6.41 ** KEPT (pick-wt=13): 216 [] -s_fs(A,B,C,D,E,F,G,H)|s_col(A,B,C).
% 6.25/6.41 ** KEPT (pick-wt=16): 217 [] -s_fs(A,B,C,D,E,F,G,H)|s_e3(A,B,C,E,F,G).
% 6.25/6.41 ** KEPT (pick-wt=14): 218 [] -s_fs(A,B,C,D,E,F,G,H)|s_e(A,D,E,H).
% 6.25/6.41 ** KEPT (pick-wt=14): 219 [] -s_fs(A,B,C,D,E,F,G,H)|s_e(B,D,F,H).
% 6.25/6.41 ** KEPT (pick-wt=30): 220 [] -s_col(A,B,C)| -s_e3(A,B,C,D,E,F)| -s_e(A,G,D,H)| -s_e(B,G,E,H)|s_fs(A,B,C,G,D,E,F,H).
% 6.25/6.41 ** KEPT (pick-wt=13): 221 [] -le(A,B,C,D)|s_t(C,insert(A,B,C,D),D).
% 6.25/6.41 ** KEPT (pick-wt=14): 222 [] -le(A,B,C,D)|s_e(A,B,C,insert(A,B,C,D)).
% 6.25/6.41 ** KEPT (pick-wt=14): 223 [] -s_t(A,B,C)| -s_e(D,E,A,B)|le(D,E,A,C).
% 6.25/6.41 Following clause subsumed by 69 during input processing: 0 [] -sameside(A,B,C)|A!=B.
% 6.25/6.41 Following clause subsumed by 70 during input processing: 0 [] -sameside(A,B,C)|C!=B.
% 6.25/6.41 ** KEPT (pick-wt=12): 224 [] -sameside(A,B,C)|s_t(B,A,C)|s_t(B,C,A).
% 6.25/6.41 ** KEPT (pick-wt=14): 225 [] -s_t(A,B,C)|B=A|xb=A|sameside(B,A,C).
% 6.25/6.41 ** KEPT (pick-wt=14): 226 [] -s_t(A,B,C)|C=A|B=A|sameside(C,A,B).
% 6.25/6.41 ** KEPT (pick-wt=8): 227 [] -s_m(A,B,C)|s_t(A,B,C).
% 6.25/6.41 ** KEPT (pick-wt=9): 228 [] -s_m(A,B,C)|s_e(B,A,B,C).
% 6.25/6.41 ** KEPT (pick-wt=13): 229 [] -s_t(A,B,C)| -s_e(B,A,B,C)|s_m(A,B,C).
% 6.25/6.41 ** KEPT (pick-wt=12): 230 [] -s_kf(A,B,C,D,E,F,G)|s_t(A,D,G).
% 6.25/6.41 ** KEPT (pick-wt=12): 231 [] -s_kf(A,B,C,D,E,F,G)|s_t(C,D,E).
% 6.25/6.41 ** KEPT (pick-wt=13): 232 [] -s_kf(A,B,C,D,E,F,G)|s_e(D,A,D,C).
% 6.25/6.41 ** KEPT (pick-wt=13): 233 [] -s_kf(A,B,C,D,E,F,G)|s_e(D,G,D,E).
% 6.25/6.41 ** KEPT (pick-wt=12): 234 [] -s_kf(A,B,C,D,E,F,G)|s_m(A,B,C).
% 6.25/6.41 ** KEPT (pick-wt=12): 235 [] -s_kf(A,B,C,D,E,F,G)|s_m(G,F,E).
% 6.25/6.41 ** KEPT (pick-wt=34): 236 [] -s_t(A,B,C)| -s_t(D,B,E)| -s_e(B,A,B,D)| -s_e(B,C,B,E)| -s_m(A,F,D)| -s_m(C,G,E)|s_kf(A,F,D,B,E,G,C).
% 6.25/6.41 ** KEPT (pick-wt=11): 237 [] -s_r(A,B,C)|s_e(A,C,A,s(B,C)).
% 6.25/6.41 ** KEPT (pick-wt=11): 238 [] s_r(A,B,C)| -s_e(A,C,A,s(B,C)).
% 6.25/6.41 Following clause subsumed by 126 during input processing: 0 [] -perpAt(A,B,C,D,E)|s_col(A,B,C).
% 6.25/6.41 Following clause subsumed by 125 during input processing: 0 [] -perpAt(A,B,C,D,E)|s_col(D,E,C).
% 6.25/6.41 Following clause subsumed by 123 during input processing: 0 [] -perpAt(A,B,C,D,E)|A!=B.
% 6.25/6.41 Following clause subsumed by 124 during input processing: 0 [] -perpAt(A,B,C,D,E)|D!=E.
% 6.25/6.41 ** KEPT (pick-wt=18): 239 [] -perpAt(A,B,C,D,E)| -s_col(A,B,F)| -s_col(D,E,G)|s_r(F,C,G).
% 6.25/6.41 ** KEPT (pick-wt=29): 240 [] perpAt(A,B,C,D,E)|A=B|D=E| -s_col(A,B,C)| -s_col(D,E,C)|s_col(A,B,f811(A,B,D,E,C)).
% 6.25/6.41 ** KEPT (pick-wt=29): 241 [] perpAt(A,B,C,D,E)|A=B|D=E| -s_col(A,B,C)| -s_col(D,E,C)|s_col(D,E,g811(A,B,D,E,C)).
% 6.25/6.41 ** KEPT (pick-wt=34): 242 [] perpAt(A,B,C,D,E)|A=B|D=E| -s_col(A,B,C)| -s_col(D,E,C)| -s_r(f811(A,B,D,E,C),C,g811(A,B,D,E,C)).
% 6.25/6.41 ** KEPT (pick-wt=15): 243 [] -perp(A,B,C,D)|perpAt(A,B,il(A,B,C,D),C,D).
% 6.25/6.41 ** KEPT (pick-wt=11): 244 [] perp(A,B,C,D)| -perpAt(A,B,E,C,D).
% 6.25/6.41 ** KEPT (pick-wt=24): 245 [] A=B|s_col(A,B,C)|s_col(A,B,D)| -s_t(C,E,D)| -s_col(A,B,E)|opposite(C,A,B,D).
% 6.25/6.41 ** KEPT (pick-wt=9): 246 [] -opposite(A,B,C,D)| -s_col(B,C,A).
% 6.25/6.41 ** KEPT (pick-wt=9): 247 [] -opposite(A,B,C,D)| -s_col(B,C,D).
% 6.25/6.41 ** KEPT (pick-wt=13): 248 [] -opposite(A,B,C,D)|s_t(A,il(A,D,B,C),D).
% 6.25/6.41 ** KEPT (pick-wt=13): 249 [] -opposite(A,B,C,D)|s_col(B,C,il(A,D,B,C)).
% 6.25/6.41 ** KEPT (pick-wt=13): 250 [] -samesideline(A,B,C,D)|s_col(C,D,ss1(A,B,C,D)).
% 6.25/6.41 ** KEPT (pick-wt=13): 251 [] -samesideline(A,B,C,D)|s_col(C,D,ss2(A,B,C,D)).
% 6.25/6.41 ** KEPT (pick-wt=17): 252 [] -samesideline(A,B,C,D)|s_t(A,ss1(A,B,C,D),ss3(A,B,C,D)).
% 6.25/6.41 ** KEPT (pick-wt=17): 253 [] -samesideline(A,B,C,D)|s_t(B,ss2(A,B,C,D),ss3(A,B,C,D)).
% 6.25/6.41 ** KEPT (pick-wt=12): 255 [copy,254,flip.2] -samesideline(A,B,C,D)|ss1(A,B,C,D)!=A.
% 6.25/6.41 ** KEPT (pick-wt=12): 257 [copy,256,flip.2] -samesideline(A,B,C,D)|ss2(A,B,C,D)!=B.
% 6.25/6.41 ** KEPT (pick-wt=16): 258 [] -samesideline(A,B,C,D)|ss3(A,B,C,D)!=ss1(A,B,C,D).
% 6.25/6.41 ** KEPT (pick-wt=16): 259 [] -samesideline(A,B,C,D)|ss3(A,B,C,D)!=ss2(A,B,C,D).
% 6.25/6.41 ** KEPT (pick-wt=8): 260 [] -samesideline(A,B,C,D)|C!=D.
% 6.25/6.41 ** KEPT (pick-wt=9): 261 [] -samesideline(A,B,C,D)| -s_col(C,D,A).
% 6.25/6.41 ** KEPT (pick-wt=9): 262 [] -samesideline(A,B,C,D)| -s_col(C,D,B).
% 6.25/6.41 ** KEPT (pick-wt=44): 263 [] -s_t(A,B,C)| -s_t(D,E,C)| -s_col(F,G,B)| -s_col(F,G,E)|F=G|C=B|C=E|A=B|D=E|s_col(F,G,A)|s_col(F,G,D)|samesideline(A,D,F,G).
% 6.25/6.41 110 back subsumes 109.
% 6.25/6.41 150 back subsumes 86.
% 6.25/6.41 162 back subsumes 161.
% 6.25/6.41 167 back subsumes 166.
% 6.25/6.41 167 back subsumes 164.
% 6.25/6.41 169 back subsumes 162.
% 6.25/6.41 175 back subsumes 159.
% 6.25/6.41 287 back subsumes 271.
% 6.25/6.41 350 back subsumes 349.
% 6.25/6.41 380 back subsumes 290.
% 6.25/6.41
% 6.25/6.41 ------------> process sos:
% 6.25/6.41 ** KEPT (pick-wt=3): 459 [] A=A.
% 6.25/6.41 ** KEPT (pick-wt=5): 460 [] s_e(A,B,B,A).
% 6.25/6.41 ** KEPT (pick-wt=8): 461 [] s_t(A,B,ext(A,B,C,D)).
% 6.25/6.41 ** KEPT (pick-wt=9): 462 [] s_e(A,ext(B,A,C,D),C,D).
% 6.25/6.41 ** KEPT (pick-wt=5): 463 [] s_e(A,B,A,B).
% 6.25/6.41 ** KEPT (pick-wt=5): 464 [] s_e(A,A,B,B).
% 6.25/6.41 ** KEPT (pick-wt=4): 465 [] s_t(A,B,B).
% 6.25/6.41 ** KEPT (pick-wt=4): 466 [] s_t(A,A,B).
% 6.25/6.41 Following clause subsumed by 461 during input processing: 0 [] s_t(A,B,ext(A,B,alpha,gamma)).
% 6.25/6.41 ** KEPT (pick-wt=4): 467 [] s_col(A,A,B).
% 6.25/6.41 ** KEPT (pick-wt=4): 468 [] s_col(A,B,A).
% 6.25/6.41 ** KEPT (pick-wt=5): 469 [] le(A,B,A,B).
% 6.25/6.41 ** KEPT (pick-wt=10): 470 [] le(A,B,C,D)|le(C,D,A,B).
% 6.25/6.41 ** KEPT (pick-wt=5): 471 [] le(A,A,B,C).
% 6.25/6.41 ** KEPT (pick-wt=7): 472 [] A=B|sameside(A,B,A).
% 6.25/6.41 ** KEPT (pick-wt=14): 473 [] A=B|C=D|sameside(insert(C,D,B,A),B,A).
% 6.25/6.41 ** KEPT (pick-wt=15): 474 [] A=B|C=D|s_e(B,insert(C,D,B,A),C,D).
% 6.25/6.41 Following clause subsumed by 468 during input processing: 0 [] A=B|s_col(A,B,A).
% 6.25/6.41 ** KEPT (pick-wt=6): 475 [] s_m(A,B,s(B,A)).
% 6.25/6.41 ** KEPT (pick-wt=7): 476 [] s(A,s(A,B))=B.
% 6.25/6.41 ---> New Demodulator: 477 [new_demod,476] s(A,s(A,B))=B.
% 6.25/6.41 ** KEPT (pick-wt=9): 478 [] s_e(A,B,s(C,A),s(C,B)).
% 6.25/6.41 ** KEPT (pick-wt=4): 479 [] s_r(A,B,B).
% 6.25/6.41 ** KEPT (pick-wt=11): 480 [] s_col(A,B,C)|s_col(A,B,foot(A,B,C)).
% 6.25/6.41 ** KEPT (pick-wt=12): 481 [] s_col(A,B,C)|perp(A,B,C,foot(A,B,C)).
% 6.25/6.41 ** KEPT (pick-wt=15): 482 [] A=B|perp(A,B,erect21a(A,B,C),A)|s_col(A,B,C).
% 6.25/6.41 ** KEPT (pick-wt=14): 483 [] A=B|s_col(A,B,erectAux21a(A,B,C))|s_col(A,B,C).
% 6.25/6.41 ** KEPT (pick-wt=17): 484 [] A=B|s_t(C,erectAux21a(A,B,C),erect21a(A,B,C))|s_col(A,B,C).
% 6.25/6.41 ** KEPT (pick-wt=11): 485 [] A=B|perp(A,B,erect(A,B,C),A).
% 6.25/6.41 ** KEPT (pick-wt=10): 486 [] A=B|s_col(A,B,erectAux(A,B,C)).
% 6.25/6.41 ** KEPT (pick-wt=13): 487 [] A=B|s_t(C,erectAux(A,B,C),erect(A,B,C)).
% 6.25/6.41 ** KEPT (pick-wt=6): 488 [] s_m(A,midpoint(A,B),B).
% 6.25/6.41 ** KEPT (pick-wt=27): 490 [copy,489,flip.6] A=B|s_col(A,B,C)|s_col(A,B,D)|samesideline(C,D,A,B)|opposite(C,A,B,D)|foot(A,B,C)=A.Alarm clock
% 299.84/300.02 Otter interrupted
% 299.84/300.02 PROOF NOT FOUND
%------------------------------------------------------------------------------